An angle has vertex R, sides vector RQ and vector RD, and measures 162°. Name it three ways and classify it.

∠ QRD, ∠ DRQ, ∠ R; obtuse

An angle has vertex R, sides vector RM and vector RJ, and measures 126°. Name it three ways and classify it.

∠ MRJ, ∠ JRM, ∠ R; obtuse

An angle has vertex D, sides vector DB and vector DC, and measures 180°. Name it three ways and classify it.

∠ BDC, ∠ CDB, ∠ D; straight

An angle has vertex C, sides vector CP and vector CL, and measures 139°. Name it three ways and classify it.

∠ PCL, ∠ LCP, ∠ C; obtuse

An angle has vertex C, sides vector CQ and vector CS, and measures 180°. Name it three ways and classify it.

∠ QCS, ∠ SCQ, ∠ C; straight

An angle has vertex R, sides vector RM and vector RL, and measures 150°. Name it three ways and classify it.

∠ MRL, ∠ LRM, ∠ R; obtuse

An angle has vertex R, sides vector RL and vector RQ, and measures 180°. Name it three ways and classify it.

∠ LRQ, ∠ QRL, ∠ R; straight

An angle has vertex Q, sides vector QD and vector QL, and measures 180°. Name it three ways and classify it.

∠ DQL, ∠ LQD, ∠ Q; straight

An angle has vertex M, sides vector MK and vector MP, and measures 176°. Name it three ways and classify it.

∠ KMP, ∠ PMK, ∠ M; obtuse

An angle has vertex S, sides vector SM and vector SA, and measures 180°. Name it three ways and classify it.

∠ MSA, ∠ ASM, ∠ S; straight

Worksheets · Geometry

Naming and classifying angles worksheet

An angle is named by three points with the vertex in the middle, or by the vertex alone when no other angle shares it. Its measure sorts it: acute under 90, right at 90, obtuse between 90 and 180, straight at 180.

Select your difficulty

Pick more than one for a sheet that mixes them.



Sigma Prep · sigmaprep.io/worksheets Name Naming and Classifying Angles Date Period Answer each question. An angle has vertex $L$ , sides $\vec{L P}$ and $\vec{L C}$ , and measures $9 0^{\circ}$ . Name it three ways and classify it. An angle has vertex $R$ , sides $\vec{R Q}$ and $\vec{R D}$ , and measures $16 2^{\circ}$ . Name it three ways and classify it. An angle has vertex $L$ , sides $\vec{L J}$ and $\vec{L A}$ , and measures $2 9^{\circ}$ . Name it three ways and classify it. An angle has vertex $R$ , sides $\vec{R M}$ and $\vec{R J}$ , and measures $12 6^{\circ}$ . Name it three ways and classify it. An angle has vertex $D$ , sides $\vec{D B}$ and $\vec{D C}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it. An angle has vertex $C$ , sides $\vec{C D}$ and $\vec{C P}$ , and measures $9 0^{\circ}$ . Name it three ways and classify it. An angle has vertex $C$ , sides $\vec{C P}$ and $\vec{C L}$ , and measures $13 9^{\circ}$ . Name it three ways and classify it. An angle has vertex $L$ , sides $\vec{L D}$ and $\vec{L S}$ , and measures $9 0^{\circ}$ . Name it three ways and classify it. An angle has vertex $C$ , sides $\vec{C Q}$ and $\vec{C S}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it. An angle has vertex $R$ , sides $\vec{R M}$ and $\vec{R L}$ , and measures $15 0^{\circ}$ . Name it three ways and classify it. An angle has vertex $M$ , sides $\vec{M J}$ and $\vec{M L}$ , and measures $9 0^{\circ}$ . Name it three ways and classify it. An angle has vertex $R$ , sides $\vec{R L}$ and $\vec{R Q}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it. An angle has vertex $S$ , sides $\vec{S J}$ and $\vec{S P}$ , and measures $8 3^{\circ}$ . Name it three ways and classify it. An angle has vertex $Q$ , sides $\vec{Q D}$ and $\vec{Q L}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it. An angle has vertex $Q$ , sides $\vec{Q D}$ and $\vec{Q K}$ , and measures $7 7^{\circ}$ . Name it three ways and classify it. An angle has vertex $L$ , sides $\vec{L J}$ and $\vec{L S}$ , and measures $5 6^{\circ}$ . Name it three ways and classify it. An angle has vertex $M$ , sides $\vec{M K}$ and $\vec{M P}$ , and measures $17 6^{\circ}$ . Name it three ways and classify it. An angle has vertex $R$ , sides $\vec{R B}$ and $\vec{R Q}$ , and measures $4 6^{\circ}$ . Name it three ways and classify it. An angle has vertex $S$ , sides $\vec{S Q}$ and $\vec{S M}$ , and measures $6 3^{\circ}$ . Name it three ways and classify it. An angle has vertex $S$ , sides $\vec{S M}$ and $\vec{S A}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it. Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Naming and Classifying Angles

Date Period

Answer each question.

An angle has vertex $L$ , sides $\vec{L P}$ and $\vec{L C}$ , and measures $9 0^{\circ}$ . Name it three ways and classify it.
An angle has vertex $R$ , sides $\vec{R Q}$ and $\vec{R D}$ , and measures $16 2^{\circ}$ . Name it three ways and classify it.
An angle has vertex $L$ , sides $\vec{L J}$ and $\vec{L A}$ , and measures $2 9^{\circ}$ . Name it three ways and classify it.
An angle has vertex $R$ , sides $\vec{R M}$ and $\vec{R J}$ , and measures $12 6^{\circ}$ . Name it three ways and classify it.
An angle has vertex $D$ , sides $\vec{D B}$ and $\vec{D C}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it.
An angle has vertex $C$ , sides $\vec{C D}$ and $\vec{C P}$ , and measures $9 0^{\circ}$ . Name it three ways and classify it.
An angle has vertex $C$ , sides $\vec{C P}$ and $\vec{C L}$ , and measures $13 9^{\circ}$ . Name it three ways and classify it.
An angle has vertex $L$ , sides $\vec{L D}$ and $\vec{L S}$ , and measures $9 0^{\circ}$ . Name it three ways and classify it.
An angle has vertex $C$ , sides $\vec{C Q}$ and $\vec{C S}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it.
An angle has vertex $R$ , sides $\vec{R M}$ and $\vec{R L}$ , and measures $15 0^{\circ}$ . Name it three ways and classify it.
An angle has vertex $M$ , sides $\vec{M J}$ and $\vec{M L}$ , and measures $9 0^{\circ}$ . Name it three ways and classify it.
An angle has vertex $R$ , sides $\vec{R L}$ and $\vec{R Q}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it.
An angle has vertex $S$ , sides $\vec{S J}$ and $\vec{S P}$ , and measures $8 3^{\circ}$ . Name it three ways and classify it.
An angle has vertex $Q$ , sides $\vec{Q D}$ and $\vec{Q L}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it.
An angle has vertex $Q$ , sides $\vec{Q D}$ and $\vec{Q K}$ , and measures $7 7^{\circ}$ . Name it three ways and classify it.
An angle has vertex $L$ , sides $\vec{L J}$ and $\vec{L S}$ , and measures $5 6^{\circ}$ . Name it three ways and classify it.
An angle has vertex $M$ , sides $\vec{M K}$ and $\vec{M P}$ , and measures $17 6^{\circ}$ . Name it three ways and classify it.
An angle has vertex $R$ , sides $\vec{R B}$ and $\vec{R Q}$ , and measures $4 6^{\circ}$ . Name it three ways and classify it.
An angle has vertex $S$ , sides $\vec{S Q}$ and $\vec{S M}$ , and measures $6 3^{\circ}$ . Name it three ways and classify it.
An angle has vertex $S$ , sides $\vec{S M}$ and $\vec{S A}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it.



Sigma Prep · sigmaprep.io/worksheets Name Naming and Classifying AnglesAnswer keyVersion 1 Date Period Answer each question. An angle has vertex $L$ , sides $\vec{L P}$ and $\vec{L C}$ , and measures $9 0^{\circ}$ . Name it three ways and classify it. $∠ P L C$ , $∠ C L P$ , $∠ L$ ; right An angle has vertex $R$ , sides $\vec{R Q}$ and $\vec{R D}$ , and measures $16 2^{\circ}$ . Name it three ways and classify it. $∠ Q R D$ , $∠ D R Q$ , $∠ R$ ; obtuse An angle has vertex $L$ , sides $\vec{L J}$ and $\vec{L A}$ , and measures $2 9^{\circ}$ . Name it three ways and classify it. $∠ J L A$ , $∠ A L J$ , $∠ L$ ; acute An angle has vertex $R$ , sides $\vec{R M}$ and $\vec{R J}$ , and measures $12 6^{\circ}$ . Name it three ways and classify it. $∠ M R J$ , $∠ J R M$ , $∠ R$ ; obtuse An angle has vertex $D$ , sides $\vec{D B}$ and $\vec{D C}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it. $∠ B D C$ , $∠ C D B$ , $∠ D$ ; straight An angle has vertex $C$ , sides $\vec{C D}$ and $\vec{C P}$ , and measures $9 0^{\circ}$ . Name it three ways and classify it. $∠ D C P$ , $∠ P C D$ , $∠ C$ ; right An angle has vertex $C$ , sides $\vec{C P}$ and $\vec{C L}$ , and measures $13 9^{\circ}$ . Name it three ways and classify it. $∠ P C L$ , $∠ L C P$ , $∠ C$ ; obtuse An angle has vertex $L$ , sides $\vec{L D}$ and $\vec{L S}$ , and measures $9 0^{\circ}$ . Name it three ways and classify it. $∠ D L S$ , $∠ S L D$ , $∠ L$ ; right An angle has vertex $C$ , sides $\vec{C Q}$ and $\vec{C S}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it. $∠ Q C S$ , $∠ S C Q$ , $∠ C$ ; straight An angle has vertex $R$ , sides $\vec{R M}$ and $\vec{R L}$ , and measures $15 0^{\circ}$ . Name it three ways and classify it. $∠ M R L$ , $∠ L R M$ , $∠ R$ ; obtuse An angle has vertex $M$ , sides $\vec{M J}$ and $\vec{M L}$ , and measures $9 0^{\circ}$ . Name it three ways and classify it. $∠ J M L$ , $∠ L M J$ , $∠ M$ ; right An angle has vertex $R$ , sides $\vec{R L}$ and $\vec{R Q}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it. $∠ L R Q$ , $∠ Q R L$ , $∠ R$ ; straight An angle has vertex $S$ , sides $\vec{S J}$ and $\vec{S P}$ , and measures $8 3^{\circ}$ . Name it three ways and classify it. $∠ J S P$ , $∠ P S J$ , $∠ S$ ; acute An angle has vertex $Q$ , sides $\vec{Q D}$ and $\vec{Q L}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it. $∠ D Q L$ , $∠ L Q D$ , $∠ Q$ ; straight An angle has vertex $Q$ , sides $\vec{Q D}$ and $\vec{Q K}$ , and measures $7 7^{\circ}$ . Name it three ways and classify it. $∠ D Q K$ , $∠ K Q D$ , $∠ Q$ ; acute An angle has vertex $L$ , sides $\vec{L J}$ and $\vec{L S}$ , and measures $5 6^{\circ}$ . Name it three ways and classify it. $∠ J L S$ , $∠ S L J$ , $∠ L$ ; acute An angle has vertex $M$ , sides $\vec{M K}$ and $\vec{M P}$ , and measures $17 6^{\circ}$ . Name it three ways and classify it. $∠ K M P$ , $∠ P M K$ , $∠ M$ ; obtuse An angle has vertex $R$ , sides $\vec{R B}$ and $\vec{R Q}$ , and measures $4 6^{\circ}$ . Name it three ways and classify it. $∠ B R Q$ , $∠ Q R B$ , $∠ R$ ; acute An angle has vertex $S$ , sides $\vec{S Q}$ and $\vec{S M}$ , and measures $6 3^{\circ}$ . Name it three ways and classify it. $∠ Q S M$ , $∠ M S Q$ , $∠ S$ ; acute An angle has vertex $S$ , sides $\vec{S M}$ and $\vec{S A}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it. $∠ M S A$ , $∠ A S M$ , $∠ S$ ; straight Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Naming and Classifying AnglesAnswer keyVersion 1

Date Period

Answer each question.

An angle has vertex $L$ , sides $\vec{L P}$ and $\vec{L C}$ , and measures $9 0^{\circ}$ . Name it three ways and classify it. $∠ P L C$ , $∠ C L P$ , $∠ L$ ; right
An angle has vertex $R$ , sides $\vec{R Q}$ and $\vec{R D}$ , and measures $16 2^{\circ}$ . Name it three ways and classify it. $∠ Q R D$ , $∠ D R Q$ , $∠ R$ ; obtuse
An angle has vertex $L$ , sides $\vec{L J}$ and $\vec{L A}$ , and measures $2 9^{\circ}$ . Name it three ways and classify it. $∠ J L A$ , $∠ A L J$ , $∠ L$ ; acute
An angle has vertex $R$ , sides $\vec{R M}$ and $\vec{R J}$ , and measures $12 6^{\circ}$ . Name it three ways and classify it. $∠ M R J$ , $∠ J R M$ , $∠ R$ ; obtuse
An angle has vertex $D$ , sides $\vec{D B}$ and $\vec{D C}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it. $∠ B D C$ , $∠ C D B$ , $∠ D$ ; straight
An angle has vertex $C$ , sides $\vec{C D}$ and $\vec{C P}$ , and measures $9 0^{\circ}$ . Name it three ways and classify it. $∠ D C P$ , $∠ P C D$ , $∠ C$ ; right
An angle has vertex $C$ , sides $\vec{C P}$ and $\vec{C L}$ , and measures $13 9^{\circ}$ . Name it three ways and classify it. $∠ P C L$ , $∠ L C P$ , $∠ C$ ; obtuse
An angle has vertex $L$ , sides $\vec{L D}$ and $\vec{L S}$ , and measures $9 0^{\circ}$ . Name it three ways and classify it. $∠ D L S$ , $∠ S L D$ , $∠ L$ ; right
An angle has vertex $C$ , sides $\vec{C Q}$ and $\vec{C S}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it. $∠ Q C S$ , $∠ S C Q$ , $∠ C$ ; straight
An angle has vertex $R$ , sides $\vec{R M}$ and $\vec{R L}$ , and measures $15 0^{\circ}$ . Name it three ways and classify it. $∠ M R L$ , $∠ L R M$ , $∠ R$ ; obtuse
An angle has vertex $M$ , sides $\vec{M J}$ and $\vec{M L}$ , and measures $9 0^{\circ}$ . Name it three ways and classify it. $∠ J M L$ , $∠ L M J$ , $∠ M$ ; right
An angle has vertex $R$ , sides $\vec{R L}$ and $\vec{R Q}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it. $∠ L R Q$ , $∠ Q R L$ , $∠ R$ ; straight
An angle has vertex $S$ , sides $\vec{S J}$ and $\vec{S P}$ , and measures $8 3^{\circ}$ . Name it three ways and classify it. $∠ J S P$ , $∠ P S J$ , $∠ S$ ; acute
An angle has vertex $Q$ , sides $\vec{Q D}$ and $\vec{Q L}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it. $∠ D Q L$ , $∠ L Q D$ , $∠ Q$ ; straight
An angle has vertex $Q$ , sides $\vec{Q D}$ and $\vec{Q K}$ , and measures $7 7^{\circ}$ . Name it three ways and classify it. $∠ D Q K$ , $∠ K Q D$ , $∠ Q$ ; acute
An angle has vertex $L$ , sides $\vec{L J}$ and $\vec{L S}$ , and measures $5 6^{\circ}$ . Name it three ways and classify it. $∠ J L S$ , $∠ S L J$ , $∠ L$ ; acute
An angle has vertex $M$ , sides $\vec{M K}$ and $\vec{M P}$ , and measures $17 6^{\circ}$ . Name it three ways and classify it. $∠ K M P$ , $∠ P M K$ , $∠ M$ ; obtuse
An angle has vertex $R$ , sides $\vec{R B}$ and $\vec{R Q}$ , and measures $4 6^{\circ}$ . Name it three ways and classify it. $∠ B R Q$ , $∠ Q R B$ , $∠ R$ ; acute
An angle has vertex $S$ , sides $\vec{S Q}$ and $\vec{S M}$ , and measures $6 3^{\circ}$ . Name it three ways and classify it. $∠ Q S M$ , $∠ M S Q$ , $∠ S$ ; acute
An angle has vertex $S$ , sides $\vec{S M}$ and $\vec{S A}$ , and measures $18 0^{\circ}$ . Name it three ways and classify it. $∠ M S A$ , $∠ A S M$ , $∠ S$ ; straight

How to do these

An angle has vertex $B$ , sides $\vec{B A}$ and $\vec{B C}$ , and measures $12 8^{\circ}$ . Name it three ways and classify it.

The vertex letter goes in the middle.
The vertex alone works when only one angle sits there.
128 is between 90 and 180, so it is obtuse.

The answer is $∠ A B C$ , $∠ C B A$ , $∠ B$ ; obtuse.

Where students go wrong

Putting the vertex first, as in angle BAC for the angle at B. That names the angle at A instead.

Also called classifying angles, naming angles or acute right obtuse straight.

Questions about these worksheets

Yes. Every naming and classifying angles sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Geometry is usually taken around 9th or 10th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the naming and classifying angles questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

Putting the vertex first, as in angle BAC for the angle at B. That names the angle at A instead.

Naming and classifying angles worksheet

Select your difficulty

Naming and Classifying Angles

Naming and Classifying AnglesAnswer keyVersion 1

How to do these

Where students go wrong

Questions about these worksheets

Are these naming and classifying angles worksheets free?+

Do the naming and classifying angles worksheets come with an answer key?+

Are these naming and classifying angles worksheets printable?+

What grade are these naming and classifying angles worksheets for?+

Can I get a different version of the same naming and classifying angles worksheet?+

Is this a free alternative to Kuta Software for naming and classifying angles?+

Can I choose how hard the naming and classifying angles questions are?+

What do students get wrong with naming and classifying angles?+