Question

What is x if the measure of one interior angle in a regular heptagon is equal to 2x+1 degrees?

Answer 1

63.79 degrees to the nearest hundredth.

Explanation:

Sum of the interior angles of a polygon = 180(n - 2) where n = the number of sides.

Sum in a heptagon = 180(7 - 2) = 900 degrees.

In a regular heptagon one interior angle = 900/7 = 128.57 degrees.

So 2x + 1 = 128.57

2x = 127.57

x = 63.79.