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

∠ PRM, ∠ MRP, ∠ R; straight

An angle has vertex M, sides vector MC and vector MP, and measures 108°. Name it three ways and classify it.

∠ CMP, ∠ PMC, ∠ M; obtuse

An angle has vertex P, sides vector PB and vector PR, and measures 127°. Name it three ways and classify it.

∠ BPR, ∠ RPB, ∠ P; obtuse

Name the vertex and the sides of ∠ LMN. — an angle with its vertex and a point on each ray, labeled L, N, M

vertex M, sides vector ML and vector MN

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.

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Pick more than one for a sheet that mixes them.

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Sigma Prep · sigmaprep.io/worksheets Name Naming and Classifying Angles Date Period Answer each question. Name and classify angles An angle has vertex $L$ , sides $\vec{L P}$ and $\vec{L C}$ , and measures $90^{\circ}$ . Name it three ways and classify it. An angle has vertex $Q$ , sides $\vec{Q M}$ and $\vec{Q D}$ , and measures $65^{\circ}$ . Name it three ways and classify it. An angle has vertex $D$ , sides $\vec{D L}$ and $\vec{D P}$ , and measures $55^{\circ}$ . Name it three ways and classify it. An angle has vertex $R$ , sides $\vec{R P}$ and $\vec{R M}$ , and measures $180^{\circ}$ . Name it three ways and classify it. An angle has vertex $D$ , sides $\vec{D A}$ and $\vec{D C}$ , and measures $87^{\circ}$ . Name it three ways and classify it. An angle has vertex $M$ , sides $\vec{M C}$ and $\vec{M P}$ , and measures $108^{\circ}$ . Name it three ways and classify it. An angle has vertex $K$ , sides $\vec{K S}$ and $\vec{K B}$ , and measures $4^{\circ}$ . Name it three ways and classify it. An angle has vertex $S$ , sides $\vec{S R}$ and $\vec{S Q}$ , and measures $8^{\circ}$ . Name it three ways and classify it. An angle has vertex $P$ , sides $\vec{P B}$ and $\vec{P R}$ , and measures $127^{\circ}$ . Name it three ways and classify it. An angle has vertex $P$ , sides $\vec{P S}$ and $\vec{P K}$ , and measures $23^{\circ}$ . Name it three ways and classify it. Count the angles Count the angles, each less than a straight angle, with ray B or ray D as one side. No two rays point in opposite directions. The rays start at one point. How many angles smaller than a straight angle do they make? Rays A and E, and rays D and F point in opposite directions. Each pair of rays makes an angle unless the two form a line. How many angles are there? Rays C and F point in opposite directions. Counting every angle two of these rays make, but not straight angles, how many are there? No two rays point in opposite directions. Using ray B or ray D as one side, how many angles less than a straight angle can be named? Rays A and D point in opposite directions. How many angles smaller than a straight angle have ray A or ray C as a side? Rays B and F point in opposite directions. Each angle here has two rays as its sides. Leaving out straight angles, how many are there? Rays A and D, and rays B and E point in opposite directions. How many different angles less than a straight angle do the rays make? Rays B and E point in opposite directions. Find the number of angles less than a straight angle that the rays form. No two rays point in opposite directions. Count the angles, each less than a straight angle, with ray D or ray F as one side. Rays C and F point in opposite directions. 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.

Name and classify angles
An angle has vertex $L$ , sides $\vec{L P}$ and $\vec{L C}$ , and measures $90^{\circ}$ . Name it three ways and classify it.
An angle has vertex $Q$ , sides $\vec{Q M}$ and $\vec{Q D}$ , and measures $65^{\circ}$ . Name it three ways and classify it.
An angle has vertex $D$ , sides $\vec{D L}$ and $\vec{D P}$ , and measures $55^{\circ}$ . Name it three ways and classify it.
An angle has vertex $R$ , sides $\vec{R P}$ and $\vec{R M}$ , and measures $180^{\circ}$ . Name it three ways and classify it.
An angle has vertex $D$ , sides $\vec{D A}$ and $\vec{D C}$ , and measures $87^{\circ}$ . Name it three ways and classify it.
An angle has vertex $M$ , sides $\vec{M C}$ and $\vec{M P}$ , and measures $108^{\circ}$ . Name it three ways and classify it.
An angle has vertex $K$ , sides $\vec{K S}$ and $\vec{K B}$ , and measures $4^{\circ}$ . Name it three ways and classify it.
An angle has vertex $S$ , sides $\vec{S R}$ and $\vec{S Q}$ , and measures $8^{\circ}$ . Name it three ways and classify it.
An angle has vertex $P$ , sides $\vec{P B}$ and $\vec{P R}$ , and measures $127^{\circ}$ . Name it three ways and classify it.
An angle has vertex $P$ , sides $\vec{P S}$ and $\vec{P K}$ , and measures $23^{\circ}$ . Name it three ways and classify it.

Count the angles
Count the angles, each less than a straight angle, with ray B or ray D as one side. No two rays point in opposite directions.
The rays start at one point. How many angles smaller than a straight angle do they make? Rays A and E, and rays D and F point in opposite directions.
Each pair of rays makes an angle unless the two form a line. How many angles are there? Rays C and F point in opposite directions.
Counting every angle two of these rays make, but not straight angles, how many are there? No two rays point in opposite directions.
Using ray B or ray D as one side, how many angles less than a straight angle can be named? Rays A and D point in opposite directions.
How many angles smaller than a straight angle have ray A or ray C as a side? Rays B and F point in opposite directions.
Each angle here has two rays as its sides. Leaving out straight angles, how many are there? Rays A and D, and rays B and E point in opposite directions.
How many different angles less than a straight angle do the rays make? Rays B and E point in opposite directions.
Find the number of angles less than a straight angle that the rays form. No two rays point in opposite directions.
Count the angles, each less than a straight angle, with ray D or ray F as one side. Rays C and F point in opposite directions.



Sigma Prep · sigmaprep.io/worksheets Name Naming and Classifying AnglesAnswer keyVersion 1 Date Period Answer each question. Name and classify angles An angle has vertex $L$ , sides $\vec{L P}$ and $\vec{L C}$ , and measures $90^{\circ}$ . Name it three ways and classify it. $∠ P L C$ , $∠ C L P$ , $∠ L$ ; right An angle has vertex $Q$ , sides $\vec{Q M}$ and $\vec{Q D}$ , and measures $65^{\circ}$ . Name it three ways and classify it. $∠ M Q D$ , $∠ D Q M$ , $∠ Q$ ; acute An angle has vertex $D$ , sides $\vec{D L}$ and $\vec{D P}$ , and measures $55^{\circ}$ . Name it three ways and classify it. $∠ L D P$ , $∠ P D L$ , $∠ D$ ; acute An angle has vertex $R$ , sides $\vec{R P}$ and $\vec{R M}$ , and measures $180^{\circ}$ . Name it three ways and classify it. $∠ P R M$ , $∠ M R P$ , $∠ R$ ; straight An angle has vertex $D$ , sides $\vec{D A}$ and $\vec{D C}$ , and measures $87^{\circ}$ . Name it three ways and classify it. $∠ A D C$ , $∠ C D A$ , $∠ D$ ; acute An angle has vertex $M$ , sides $\vec{M C}$ and $\vec{M P}$ , and measures $108^{\circ}$ . Name it three ways and classify it. $∠ C M P$ , $∠ P M C$ , $∠ M$ ; obtuse An angle has vertex $K$ , sides $\vec{K S}$ and $\vec{K B}$ , and measures $4^{\circ}$ . Name it three ways and classify it. $∠ S K B$ , $∠ B K S$ , $∠ K$ ; acute An angle has vertex $S$ , sides $\vec{S R}$ and $\vec{S Q}$ , and measures $8^{\circ}$ . Name it three ways and classify it. $∠ R S Q$ , $∠ Q S R$ , $∠ S$ ; acute An angle has vertex $P$ , sides $\vec{P B}$ and $\vec{P R}$ , and measures $127^{\circ}$ . Name it three ways and classify it. $∠ B P R$ , $∠ R P B$ , $∠ P$ ; obtuse An angle has vertex $P$ , sides $\vec{P S}$ and $\vec{P K}$ , and measures $23^{\circ}$ . Name it three ways and classify it. $∠ S P K$ , $∠ K P S$ , $∠ P$ ; acute Count the angles Count the angles, each less than a straight angle, with ray B or ray D as one side. No two rays point in opposite directions. $7$ The rays start at one point. How many angles smaller than a straight angle do they make? Rays A and E, and rays D and F point in opposite directions. $13$ Each pair of rays makes an angle unless the two form a line. How many angles are there? Rays C and F point in opposite directions. $14$ Counting every angle two of these rays make, but not straight angles, how many are there? No two rays point in opposite directions. $10$ Using ray B or ray D as one side, how many angles less than a straight angle can be named? Rays A and D point in opposite directions. $6$ How many angles smaller than a straight angle have ray A or ray C as a side? Rays B and F point in opposite directions. $9$ Each angle here has two rays as its sides. Leaving out straight angles, how many are there? Rays A and D, and rays B and E point in opposite directions. $8$ How many different angles less than a straight angle do the rays make? Rays B and E point in opposite directions. $9$ Find the number of angles less than a straight angle that the rays form. No two rays point in opposite directions. $15$ Count the angles, each less than a straight angle, with ray D or ray F as one side. Rays C and F point in opposite directions. $8$ 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.

Name and classify angles
An angle has vertex $L$ , sides $\vec{L P}$ and $\vec{L C}$ , and measures $90^{\circ}$ . Name it three ways and classify it. $∠ P L C$ , $∠ C L P$ , $∠ L$ ; right
An angle has vertex $Q$ , sides $\vec{Q M}$ and $\vec{Q D}$ , and measures $65^{\circ}$ . Name it three ways and classify it. $∠ M Q D$ , $∠ D Q M$ , $∠ Q$ ; acute
An angle has vertex $D$ , sides $\vec{D L}$ and $\vec{D P}$ , and measures $55^{\circ}$ . Name it three ways and classify it. $∠ L D P$ , $∠ P D L$ , $∠ D$ ; acute
An angle has vertex $R$ , sides $\vec{R P}$ and $\vec{R M}$ , and measures $180^{\circ}$ . Name it three ways and classify it. $∠ P R M$ , $∠ M R P$ , $∠ R$ ; straight
An angle has vertex $D$ , sides $\vec{D A}$ and $\vec{D C}$ , and measures $87^{\circ}$ . Name it three ways and classify it. $∠ A D C$ , $∠ C D A$ , $∠ D$ ; acute
An angle has vertex $M$ , sides $\vec{M C}$ and $\vec{M P}$ , and measures $108^{\circ}$ . Name it three ways and classify it. $∠ C M P$ , $∠ P M C$ , $∠ M$ ; obtuse
An angle has vertex $K$ , sides $\vec{K S}$ and $\vec{K B}$ , and measures $4^{\circ}$ . Name it three ways and classify it. $∠ S K B$ , $∠ B K S$ , $∠ K$ ; acute
An angle has vertex $S$ , sides $\vec{S R}$ and $\vec{S Q}$ , and measures $8^{\circ}$ . Name it three ways and classify it. $∠ R S Q$ , $∠ Q S R$ , $∠ S$ ; acute
An angle has vertex $P$ , sides $\vec{P B}$ and $\vec{P R}$ , and measures $127^{\circ}$ . Name it three ways and classify it. $∠ B P R$ , $∠ R P B$ , $∠ P$ ; obtuse
An angle has vertex $P$ , sides $\vec{P S}$ and $\vec{P K}$ , and measures $23^{\circ}$ . Name it three ways and classify it. $∠ S P K$ , $∠ K P S$ , $∠ P$ ; acute

Count the angles
Count the angles, each less than a straight angle, with ray B or ray D as one side. No two rays point in opposite directions. $7$
The rays start at one point. How many angles smaller than a straight angle do they make? Rays A and E, and rays D and F point in opposite directions. $13$
Each pair of rays makes an angle unless the two form a line. How many angles are there? Rays C and F point in opposite directions. $14$
Counting every angle two of these rays make, but not straight angles, how many are there? No two rays point in opposite directions. $10$
Using ray B or ray D as one side, how many angles less than a straight angle can be named? Rays A and D point in opposite directions. $6$
How many angles smaller than a straight angle have ray A or ray C as a side? Rays B and F point in opposite directions. $9$
Each angle here has two rays as its sides. Leaving out straight angles, how many are there? Rays A and D, and rays B and E point in opposite directions. $8$
How many different angles less than a straight angle do the rays make? Rays B and E point in opposite directions. $9$
Find the number of angles less than a straight angle that the rays form. No two rays point in opposite directions. $15$
Count the angles, each less than a straight angle, with ray D or ray F as one side. Rays C and F point in opposite directions. $8$

How to do these

An angle has vertex $B$ , sides $\vec{B A}$ and $\vec{B C}$ , and measures $128^{\circ}$ . 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.

What you can put on this worksheet

Name it and classify it: Classify an angle that measures 105 degrees. → Obtuse
How many angles several rays make: Counting every angle two of these rays make, but not straight angles, how many are there? Rays B and D point in opposite directions. → $5$
Name it four ways, classify it from the drawing, inside or outside: Name the angle four ways. — an angle with its vertex and a point on each ray, labeled L, N, M, 3 → $∠ L M N$ , $∠ N M L$ , $∠ M$ , $∠ 3$
Name the vertex and the sides: Name the vertex and the sides of $∠ L M N$ . — an angle with its vertex and a point on each ray, labeled L, N, M → vertex $M$ , sides $\vec{M L}$ and $\vec{M N}$

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.

You pick from 4: name it and classify it, how many angles several rays make, name it four ways, classify it from the drawing, inside or outside and name the vertex and the sides. Tick as many as you want and set how many of each, or let it spread them evenly.

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

Name and classify angles

Count the angles

Name and classify angles

Count the angles

How to do these

Where students go wrong

What you can put on this worksheet

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 kinds of question are on a naming and classifying angles worksheet?+

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