Each exterior angle of a regular decagon has a measure of (3x+6) what is the value of x Question Each exterior angle of a regular decagon has a measure of (3x+6) what is the value of x in progress 0 Math Amaya 2 days 2021-10-13T02:02:47+00:00 2021-10-13T02:02:47+00:00 2 Answers 0

## Answers ( )

Answer: 10Step-by-step explanation:We know that a regular decagon has 10 sides.

The sum of all exterior angles of any regular polygon is .

Given:Each exterior angle of a regular decagon has a measure of .Then the sum of all the exterior angle will be :-

Hence, the value of x = 10First——//360/10=36. Each exterior angle is 36 degrees

3x+6=36

Subtract 6 from both sides

3x=30

X=10