Question

if the sum of all interior angles of a regular polygon is 135 degree then find the number of sides does a polygon have​

Answer 1

say the polygon has n sides.

each interior angle of a regular convex n-gon has a measure of:

(n−2)∗180n

so in this question,

(n−2)∗180n=135

(n−2)(180)=135n

180n−360=135n

45n=360

n=36045

n=8

The regular polygon has 8 sides. it is a regular octogon.

Answer 2

Answer:

It has 5 sides gyfuyrytuy