If the measure of an interior angle of a regular polygon

is 60°, find the number of sides of the polygon

Question

Martin Steele

Mathematics

5 April, 15:31

If the measure of an interior angle of a regular polygon

is 60°, find the number of sides of the polygon

+4

Answers (1)

Know the Answer?

Boo · Answer 1

3 sides

Step-by-step explanation:

Interior angle = {n - 2}{180/n}

60 = {n - 2}{180/n}

Cross multiply

60n = {n - 2}180

Dividing through by 60

n = (n - 2) 3

n = 3n - 6

3n - n = 6

2n = 6

n = 6/2

n = 3

If the measure of an interior angle of a regular polygonis 60°, find the number of sides of the polygon

If the measure of an interior angle of a regular polygon

is 60°, find the number of sides of the polygon