Question

The measures of each exterior angle in a regular hexagon is (4x + 15)°. Find the value of x. Show equations and all work that leads to your answer.

Answer 1

x=11.25

Explanation:

Given that the measures of each exterior angle in a regular hexagon is (4x + 15)°.

Hexagon means there are 6 sides.

We know that sum of all exterior angles of a regular polygon is always 360 degree.

So if there are n sides of polygon then we can write formula:

nA=360

where n= number of sides = 6

A=(4x + 15)° {given each interior angle is equal to (4x + 15)°}

plug these into above formula:

6(4x + 15)°=360°

4x + 15=60

4x = 45

4x = 45

x=11.25

Hence final answer is x=11.25.