Each exterior angle of a regular polygon is 15 degrees.

1.Determine the number of sides of the polygon.

2.What is the sum of the interior angles?

please help!!!!!!!!

i'd love to help but i can't remember how to do those problems. sorry.

The sum of all the exterior angles of a regular polygon is 360º.

So divide 360 by 15 to get the number of sides.

for the interior angles, recall that the sum is 180x(n-2) where n is the number of sides you just found.

Ineed help on my homework

No problem! I'm here to help you with your homework. Let's break down the problems step by step to find the answers.

1. Determine the number of sides of the polygon:

To find the number of sides, we need to use the fact that the sum of all the exterior angles of a polygon is always 360 degrees. Since each exterior angle is 15 degrees, we can divide 360 by 15 to find the number of sides.

360 degrees ÷ 15 degrees = 24 sides

Therefore, the polygon has 24 sides.

2. Find the sum of the interior angles:

The sum of the interior angles of any polygon can be calculated using the formula: (n - 2) * 180 degrees, where n represents the number of sides of the polygon.

Using the value of n that we found in the previous step (n = 24), we can substitute it into the formula to find the sum of the interior angles:

(24 - 2) * 180 degrees = 22 * 180 degrees = 3960 degrees

Therefore, the sum of the interior angles of the polygon is 3960 degrees.

I hope this helps! Let me know if you have any further questions.