Answer:
x=17
Step-by-step explanation:
The exterior angle theorem states that one exterior angle of a triangle is equal to the sum of its opposite interior angles. Knowing this, we can set up the following equation:
(8x-11)=(5x)+(2x+6)
Open up the parentheses
8x-11=5x+2x+6
8x-11=7x+6
Add 11 to both sides
8x-11+11=7x+6+11
8x=7x+17
Subtract both sides by 7x
8x-7x=7x+17-7x
x=17
I hope this helps!
