One interior angle of a regular pentagon measures (4X + 8) degrees. Find X.

Answer: 25

Step-by-step explanation:

Regular means all the angles in the pentagon are the same.

The formula to find the sum of the interior angles in an n-sided figure is:

180 (n-2). Pentagons have 5 sides so the total sum is 180 (5-2) = 540.

There are five angles in a pentagon so each angle is 540/5 = 108 degrees.

4x + 8 = 108

4x = 100

x = 25

25

Step-by-step explanation:

In order to find the value of the interior angle of a regular polygon, the equation is ((n-2) 180) / n where n is the number of sides of the regular polygon.

For pentagon, it's has five sides

The formula is ((n-2) 180) / n

((5-2) 180) / 5 = 3 * 180/5 = 540/5 = 108

Since from the question one interior angle measures (4X + 8)

so 4x+8 = 108

4x = 108-8 = 100

x = 100/4 = 25