Question

3. How many sides does a regular polygon have, if each of its interior angles is 165°?​

Answer 1

Answer:

You know that each of the interior angles is 165 degrees so that gives you half of your equation, 165 times n, or 165n. Second, set your interior angles equal to the interior angle formula (n-2)180 = 165n. Divide by 15 to get n = 24 sides to the polygon.

Answer 2

Answer:

One interior angle + one exterior Angle = 180° (linear pair)

Interior angle = 165°

Let the exterior angle be x

165° + x = 180°

x = 180° - 165°

= 15°

360/one exterior angle = no of sides

360/15 = 24 sides

The answer is 24 sides

hope this helps you!!!