Question

If an interior angle of a regular polygon measures 144° how many sides does the polygon have

Answer 1

Explanation:

The interior angle of a polygon is given by

(n-2)×180

or for regular polygon n × each interior angle.

Therefore since it is a regular polygon

Given than interior angle is 144

Then,

(n-2)×180=n× interior angle

180n-360=144n

180n-144n=360

36n=360

Then, n=360/36

n=10

Then the polygon has 10_sides which is a decagon.