Question

HeLp
A wooden plate is shaped as a pentagon. The measure of one angle is 40°. The remaining interior angles are obtuse and of equal measure.

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

120°

125°

110°

100°

Answer 1

what is the sum of the interior angles of a pentagon? Let us say it was 540 degrees. We have one that is given as 40 degrees, so the remaining 4 must sum up to 500 degrees, it is given that they are equal, so then they would be 125 degrees each as 4 times 125 is the required 500 that remains.

Answer 2

thanks

Answer 3

You're welcome.