Question

Find the measure of one interior angle of the regular polygon shown below.

Answer 1

90°
108°
180°
540°

Answer 2

Obviously, the angles in the pentagon are not 180 degrees or over. This means we can rule out C and D.

Answer 3

you sure its not 180 ?

Answer 4

Also, the angles are more than 90 degrees. This means we can rule out A. So, the answer is?

Answer 5

Yes, I'm sure. 180 degree angles are straight lines.

Answer 6

it was 108 -_- wtf

Answer 7

Yes, it is 108.

Answer 8

All angles in a regular polygon are congruent.

To find the measure of one of the interior angles in a regular polygon, divide the sum of the interior angles by the number of sides.

The sum of the interior angles, I, in a polygon with n sides is given by the formula below.
I = (n - 2) × 180°

The polygon shown has 5 sides. Substitute n = 5 into the formula, and solve for I.

I = (5 - 2) × 180°
= 3 × 180°
= 540°

Then, divide the sum by the number of sides.
540° ÷ 5 = 108°

Answer 9

Yeah, that works as well. Where did you find that?

Answer 10

Find the sum of the interior angles of a quadrilateral.

Answer 11

Do you have any more questions?

Answer 12

Find the sum of the interior angles of a polygon with eight sides.

Answer 13

oh never mind bro im good thanks

Answer 14

ok, bye