The size of each interior angle of a regular polygon is 135°. Find the number of sides of the polygon

Answer 1

The formula for the size of each interior angle of a regular polygon is:

180(n-2)/n

where n is the number of sides of the polygon.

So we can set up an equation:

180(n-2)/n = 135

Simplifying, we get:

180n - 360 = 135n

45n = 360

n = 8

Therefore, the polygon has 8 sides.