Question

A regular polygon has a measure of (8x+6) and a measure of (4x+12) find the measure of each angle please show work

Answer 1

The measure of each angle is 18°

Explanation:

we know that

A regular polygon is a polygon whose all sides are equal and also all angles are equal.

so

In this problem

`(8x+6)=(4x+12)`

Solve for x

`(8x-4x)=(12-6)`

`4x=6`

`x=1.5`

Substitute the value of x

`(8x+6)=8(1.5)+6=18\°`

therefore

The measure of each angle is 18°