Given the regular polygon shown below, what is the measure of each labeled angle?

Answer 1

Since the regular polygon has 8 sides, we can use the formula for finding the measure of each interior angle of a regular polygon:

Interior angle = (180 * (n-2)) / n

where n is the number of sides of the polygon.

Plugging in n=8, we get:

Interior angle = (180 * (8-2)) / 8
Interior angle = (180 * 6) / 8
Interior angle = 135

Therefore, each labeled angle in the regular polygon shown below is 135 degrees.