Question

1. how many degrees does each interior angle of a regular pentagon measure?

a. 150 degrees
b. 108 degrees
c. 90 degrees
d. 120 degrees

Explanation:

Step1: Calculate the sum of interior angles

The formula for the sum of interior angles of a polygon is \((n - 2)\times180^{\circ}\), where \(n\) is the number of sides. For a pentagon, \(n = 5\). So the sum is \((5 - 2)\times180^{\circ}=540^{\circ}\).

Step2: Find the measure of each interior angle

Since it is a regular pentagon (all angles are equal), divide the sum by \(n\). Each interior angle is \(\frac{540^{\circ}}{5}=108^{\circ}\).

Answer:

B. 108 degrees