Answer:
x = 12°
Detailed explanation down below.
Step-by-step explanation:
Ill be delighted to help
8° + 6x is an exterior angle. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.
In this situation, those two angles are 30° and 4x+2°
So lets put this in an equation
30° + 4x + 2° = 8° + 6x
4x + 32° = 6x + °8
Now lets subtract 8° from both sides to make it simpler
New equation =
4x + 24° = 6x
Lets evaluate X=
6x - 4x = 24°
2x = 24°
x= 24/2
x= 12°
