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Grade 10 polygon angle sums worksheets

HSG-CO.C.11 Measurement and geometry

Printable polygon angle sums worksheets for grade 10, aligned to Common Core standard HSG-CO.C.11. (n − 2) × 180°.

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Sample problems

  1. What is the measure of each exterior angle of a regular pentagon? 72°
  2. What is the measure of each interior angle of a regular hexagon? 120°
  3. What is the sum of the interior angles of a pentagon? 540°
  4. What is the sum of the interior angles of a octagon? 1080°
  5. What is the measure of each exterior angle of a regular hexagon? 60°
  6. What is the measure of each interior angle of a regular decagon? 144°
  7. What is the measure of each interior angle of a regular pentagon? 108°
  8. What is the measure of each exterior angle of a regular octagon? 45°

These eight are one sample at medium difficulty — the generator makes a different set every time.

A worked example

What is the measure of each exterior angle of a regular pentagon? 72°

  1. Exterior angles of any polygon add up to 360°
  2. Regular means all equal, so 360 ÷ 5 = 72°

Every problem on the answer key can show its steps like this — turn on “Show steps” before downloading.

About these worksheets

Each problem states its own measurements, so the reasoning is the same but the arithmetic is new every time. Every sheet is generated fresh, so you can print a new one on the same skill as often as you need — different numbers, same difficulty.

Pick how many problems you want and whether they should be easy, medium or hard, then download a PDF with a matching answer key. The key can show the worked steps for every problem, which is what a parent needs to see where a wrong answer went wrong.

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