Question

I) How do you find the sum of the angle measures of any convex polygon?

ii) If the polygon is regular, how do you find the measure of each interior angle in the polygon?

iii) How do you find the sum of the exterior angle measures of any convex polygon?

iv) If the polygon is regular, how do you find the measure of each exterior angle in the polygon?

Answer 1

1) The sum of interior angles of a convex polygon is equal to (n-2) × 180°, where 'n' is the number of sides of the polygon.

2) A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.

4) Irrespective of the number of sides of a regular polygon, the measure of each exterior angle is equal and the sum of the measure of all the exterior angles of the regular polygon is equal to 360°.

Explanation:

I hope this helps!!