Question

A wooden plate is shaped as a pentagon. The measure of one angle is 60°. The remaining interior angles are obtuse and of equal measure.

What is the measure of each obtuse angle in the pentagon?

Answer 1

Ok so there are 540 degrees in a pentagon. We can set up a equation to show this.

60 + 5x = 540
5x = 480
x=96

Therefore, the measure of each obtuse angle is 96 degrees.

Answer 2

how did you get 540, 180*5?

Answer 3

The equation for degree measure in any polygon, is 180 * (n-2). Since a pentagon, or 5 - gon, has five sides, we have (5-2) * 180 or 3 *180 = 540

Answer 4

Thank you i get it now :)

Answer 5

Medal please? lol

Answer 6

No prob. but how do i do that

Answer 7

Click the "best answer" next to my responses

Answer 8

there you go Thanks

Answer 9

NP and thank you!