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 solve for x in a regular polygon given an angle expression, one must know the number of sides of the polygon, which is not provided here, hence the value of x cannot be determined with the given information.

Step-by-step explanation:

To determine the value of x for a regular polygon where the measure of one of its angles is given by the expression 8x - 48, we must first understand the properties of a regular polygon. A regular polygon has all sides and angles equal, and the sum of its interior angles can be found using the formula (n-2) × 180°, where n is the number of sides. However, without the number of sides, we cannot find the exact value of x using the information provided here.