Question 1:
To find the measure of the exterior angle, find the measure of the interior angle and subtract that from 180.
First, let's calculate the sum of all angles in the octagon using the equation 180(n-2), where n is the number of sides.
180(8 - 2) = 180*6 = 1080
Divide that by 8, which is the number of sides
1080 / 8 = 135
Now, subtract that from 180
180 - 135 = 45
The measure of the exterior angle is 45 degrees.
The last choice is your answer.
Question 2:
Subtract 24 from 180 to get the measure of the interior angle.
180 - 24 = 156
We know that 156 is equal to

, where n is the number of sides.

= 156
Divide both sides by 180
(n-2) / n = 156 / 180
Simplify the fraction
(n-2) / n = 13 / 15
The value of n is 15.
The polygon has 15 sides.
The third choice is your answer.
Have an awesome day! :)