Question

A regular polygon is shown, with the measure of one of its angles labeled 8x - 48. Determine the value of x.

1) x = 120
2) x = 9
3) x = 28.5
4) x = 21

Answer 1

To determine the value of x, set the measure of the angle equal to 360 degrees and solve for x.

Step-by-step explanation:

To determine the value of x, we need to set the measure of the angle equal to 360 degrees since the sum of the interior angles of a polygon is always 360 degrees. So we have:

8x - 48 = 360

Adding 48 to both sides:

8x = 408

Dividing both sides by 8:

x = 51

Therefore, the value of x is 51. None of the given options accurately represent the value of x, so the correct answer is not listed.