Question

How many sides does an equiangular polygon have if each interior angle measures 156?

Answer 1

all i have to do is find out what the angles have to add up to right?

Answer 2

for an n-sided polygon, the sum of the interior angles = 180(n-2)
For a regular n-sided polygon, it follows that each angle = 180(n-2)/n = 180-360/n
Since you're given 156; 156=180-360/n -> -24=-360/n -> n=360/24=15

Answer 3

so there would be 15 sides then.

Answer 4

Yes.

Answer 5

ok. thank you