Question

What is the sum of the measures of the interior angles of a regular polygon where a single exterior angle measures 72°?

Answer 1

360/n = 72

360 = 72n

n = 5

So it's a pentagon
Now use the formula to find the sum of the measures of interior angles

Answer 2

so its 5 ?

Answer 3

nope it's a five-side shape

Answer 4

ok so its 108 ?

Answer 5

it says sum of all interior angles

Answer 6

180 * (n-2) is the general formula

180 * (5 - 2) = 180 * 3 = 540

Answer 7

ok so 5 * 72?

Answer 8

actually 5 * 108

Answer 9

right so i was on the right track

Answer 10

Good Job!

Answer 11

540

Answer 12

yes