Question

Each exterior angle of a regular decagon has a measure of (3x+6) what is the value of x

Answer 1

First——//360/10=36. Each exterior angle is 36 degrees
3x+6=36
Subtract 6 from both sides
3x=30
X=10

Answer 2

Answer: 10

Explanation:

We know that a regular decagon has 10 sides.

The sum of all exterior angles of any regular polygon is
`360^(\circ)`.

Given: Each exterior angle of a regular decagon has a measure of
`(3x+6)`.

Then the sum of all the exterior angle will be :-

`10*(3x+6)=360\\\\\Rightarrow\ 30x+60=360\\\\\Rightarrow 30x=300\\\\\Rightarrow x=(300)/(30)=10`

Hence, the value of x = 10