Question

Degree measure of one angle of a 36-sided regular polygon.

a) 150°
b) 160°
c) 170°
d) 180°

Answer 1

To find the degree measure of one angle in a 36-sided regular polygon, you must first calculate the sum of the interior angles and then divide by the number of sides resulting in each angle measuring 170°.

Step-by-step explanation:

To find the degree measure of one angle in a 36-sided regular polygon, you must first calculate the sum of the interior angles and then divide by the number of sides resulting in each angle measuring 170°.

The degree measure of one angle of a 36-sided regular polygon can be calculated using the following steps:

1. First, calculate the sum of the interior angles using the formula: (n-2) × 180°, where n is the number of sides of the polygon. For a 36-sided polygon, it would be (36-2) × 180° = 6120°.

2. Then, to find the measure of one interior angle, divide the sum by the number of sides: 6120° / 36 = 170°.

Therefore, the correct answer is (c) 170°.