Respuesta :

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

Answer: 10

Step-by-step explanation:

We know that a regular decagon has 10 sides.

The sum of all exterior angles of any regular polygon is [tex]360^{\circ}[/tex].

Given: Each exterior angle of a regular decagon has a measure of [tex](3x+6)[/tex].

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

[tex]10\times(3x+6)=360\\\\\Rightarrow\ 30x+60=360\\\\\Rightarrow 30x=300\\\\\Rightarrow x=\dfrac{300}{30}=10[/tex]

Hence, the value of x = 10

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