Question

In your own words, use complete sentences to answer the following questions (2.5 points each).

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

Explanation:

i)

First, you need to know the number of sides.

Take the number of sides and subtract 2 from it.

Then multiply this number by 180°.

The product of 2 less than the number of sides by 180° is equal to the sum of the measures of the angles of a convex polygon.

ii)

Since all angles have equal measure, and the number of angles equals rthe number of sides, divide the sum of the measures of the angles you found using the method of part i) by the number of sides.

iii)

The sum is 360° for all convex polygons no matter the number of sides.

i)

Divide 360° by the number of sides.