The measure of an exterior angle of a regular polygon is 72°. How can you find the measure of an interior angle of the polygon?

A. add 72 degrees to 90 degrees

B. Subtract 72° from 90°.

C) Subtract 72° from 108°

D) Subtract 72° from 180°.

Option C) Subtract 72° from 180°

Step-by-step explanation:

We are given the following in the question:

Measure of exterior angle = 72°

Properties of exterior angles:

Thus, we can write:

Let x degrees be the measure of the interior angle. Thus, we can write:

The measure of the interior angle is 108 degrees.

Thus, the correct answer is:

Option C) Subtract 72° from 180°

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.