Download angles of polygons

ANGLES OF POLYGONS
1. What is the sum of the interior angles of a heptagon?
2. What is the sum of the exterior angles of a convex octagon?
3. What is the measure of each interior angle of a regular pentagon?
4. The sum of the measures of the interior angles of a convex polygon is 6120°. How many sides
does it have?
5. What is the measure of an angle of a regular dodecagon?
6. What is the measure of an exterior angle of a regular hexagon?
7. The measure of an interior angle of a regular polygon is 144°. How many sides does it have?
8. The measure of an exterior angle of a regular polygon is 72°. How many sides does it have?
9. Home plate on a baseball field has three right angles and two congruent angles. Find the
measure of the two congruent angles.
10. The sum of the measures of seven angles of an octagon is 1000°. Find the measure of the eighth
angle.
11. How many sides does a regular polygon have if each exterior angle has a measure of 15°?
12. In quadrilateral ABCD, the measures of ∡A, ∡𝐵, ∡𝐶, and ∡𝐷 are in the ratio of 1:2:3:4,
respectively. Find the measures of the four angles.
Find the value of the variable.
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