Worksheets · Geometry

Isosceles and equilateral triangles worksheet

Two equal sides force the two angles opposite them to be equal, and that runs both ways. In an equilateral triangle everything is equal, so every angle is 60.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Isosceles and Equilateral Triangles

Date Period

Find each missing value.

  1. Find a base anglex40°
  2. Find a base anglex96°
  3. Find x-8x + 2238x - 1
  4. Find a base anglex72°
  5. Find a base anglex98°
  6. Find the vertex angle49°49°x
  7. Find the vertex angle44°44°x
  8. Find x6x + 168x - 12
  9. Find x8x - 227x - 8
  10. Find x-6x + 2056x - 11
  11. Find the vertex angle61°61°x
  12. Find a base anglex68°
  13. Find a base anglex166°
  14. Find the vertex angle68°68°x
  15. Find the vertex angle80°80°x
  16. Find x-6x + 2618x + 9
  17. Find x-6x + 2278x - 11
  18. Find the vertex angle67°67°x
  19. Find the vertex angle70°70°x
  20. Find the vertex angle74°74°x

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Isosceles and Equilateral TrianglesAnswer keyVersion 1

Date Period

Find each missing value.

  1. Find a base anglex40°70
  2. Find a base anglex96°42
  3. Find x-8x + 2238x - 114
  4. Find a base anglex72°54
  5. Find a base anglex98°41
  6. Find the vertex angle49°49°x82
  7. Find the vertex angle44°44°x92
  8. Find x6x + 168x - 1214
  9. Find x8x - 227x - 814
  10. Find x-6x + 2056x - 1118
  11. Find the vertex angle61°61°x58
  12. Find a base anglex68°56
  13. Find a base anglex166°7
  14. Find the vertex angle68°68°x44
  15. Find the vertex angle80°80°x20
  16. Find x-6x + 2618x + 918
  17. Find x-6x + 2278x - 1117
  18. Find the vertex angle67°67°x46
  19. Find the vertex angle70°70°x40
  20. Find the vertex angle74°74°x32

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

Base angles of 70

  1. Both base angles are 70.
  2. That is 140 of the 180.
  3. The vertex angle takes the rest.

The answer is 40.

Where students go wrong

Assuming the vertex angle is one of the equal pair. The equal angles are the ones facing the equal sides, which are the base angles, and the odd one out is at the top.

Also called base angles theorem, equilateral triangle angles or isosceles triangle.

Questions about these worksheets

Yes. Every isosceles and equilateral triangles 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 isosceles and equilateral triangles 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.

Assuming the vertex angle is one of the equal pair. The equal angles are the ones facing the equal sides, which are the base angles, and the odd one out is at the top.