Question

A wooden plate is shaped as a pentagon. The measure of one angle is 20°. The remaining interior angles are obtuse and of equal measure.

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

140°

155°

175°

130°

Answer 1

let, interior angles be "x"
so, according to question
20+x+x+x+x=540
20+4x=540
4x=540-20
4x=520
x=520/4=130