Answer:
The measure of each angle is 18°
Step-by-step 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
[tex](8x+6)=(4x+12)[/tex]
Solve for x
[tex](8x-4x)=(12-6)[/tex]
[tex]4x=6[/tex]
[tex]x=1.5[/tex]
Substitute the value of x
[tex](8x+6)=8(1.5)+6=18\°[/tex]
therefore
The measure of each angle is 18°
