Question

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

Answer 1

Answer:

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

Answer 2

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