Page 13 - Math Course 3 (Book 2)

Sum of the Angles of a Polygon

Skill Practice!

Find the sum of the measures of the interior angles of each convex polygon.
1. nonagon 2. heptagon 3. decagon

The measure of an interior angle of a regular polygon is given. Find the number of sides in each polygon.

4. 108 5. 120 6. 150

Find the measure of each interior angle using the given information.

7. 8.

9. quadrilateral STUW with S ≅ T, ∠U ≅ ∠W, 10. hexagon DEFGHI with ∠D ≅ ∠E ≅ ∠G ≅ ∠H,
m∠S ≅ 2x + 16, m∠U = x + 14 ∠F ≅ ∠I, m∠D 7x, m∠F ≅ 4x

Find the measures of an interior angle and an exterior angle for each regular polygon.

11. quadrilateral 12. pentagon 13. dodecagon

Find the measures of an interior angle and an exterior angle given the number of sides of each regular
polygon. Round to the nearest tenth if necessary.

14. 8 15. 9

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