Question

What is the equation to finding the number of sides a regular polygon has by its interior angles?

Answer 1

are the polygons regular?

Answer 2

yes.

Answer 3

just do the total angle sum divided by one interior angle size

so 360 / 90 = 4 (square)
180 / 60 = 3 (triangle)
540 / 108 = 5 (pentagon)

etc

Answer 4

oh duh ha i feel stupid now, thank you. so 9*140=1,260

Answer 5

the general rules are:

n=number of sides

Sum of Interior Angles = (n-2) × 180°

Each Angle (of a Regular Polygon) = (n-2) × 180° / n