How to determine the measure of one exterior angle given the number of sides ex 3

The video tutorial explains how to find the measure of exterior angles in polygons, focusing on regular polygons like pentagons and heptagons. It covers the relationship between interior and exterior angles, emphasizing that they are supplementary and add up to 180 degrees. The tutorial provides a step-by-step method to calculate the measure of an interior angle using a formula and then find the exterior angle by subtracting the interior angle from 180 degrees. The video concludes with a recap of the process and a final calculation example.

What is a key characteristic of a regular polygon?

• It has an odd number of sides.

• All angles are different.

• All sides are different lengths.

• All sides and angles are equal.

What is the sum of an interior and exterior angle in a polygon?

• 270 degrees

• 90 degrees

• 180 degrees

• 360 degrees

Which formula is used to find the measure of an interior angle in a polygon?

• n * 360 / (n - 2)

• n * 180 / (n - 2)

• (n - 2) * 180 / n

• (n + 2) * 180 / n

How many sides does a heptagon have?

• Five

• Eight

• Seven

• Six

If the interior angle of a heptagon is 128.57 degrees, what is the measure of its exterior angle?

• 51.43 degrees

• 61.43 degrees

• 41.43 degrees

• 31.43 degrees