Question

How many sides does the regular polygon have if each interior angle measure is four times the measure of each exterior angle measure.

Answer 1

Assume the polygon has N sides.

The exterior angle of a polygon with N sides = 360 / N

The interior angle = 180 - exterior angle = 180 - 360 / N

"each interior angle measure is four times the measure of each exterior angle measure":

180 - 360 / N = 4 (360 / N)
Solve for N

Answer 2

Is it a double digit number?

Answer 3

Yes. (The lowest double digit number)

Answer 4

10?

Answer 5

yes.

Answer 6

thank you so much

Answer 7

you are welcome.