Question

Use an algebraic equation to find the measure of each angle that is represented in terms of x.

12x - 17° =
8x + 35° =

Answer 1

12x-17=139

8x+35=139

Explanation:

The angles are vertical angles which means they are equal

12x-17 = 8x+35

Subtract 8x from each side

12x -8x-17 = 8x-8x+35

4x -17 = 35

Add 17 to each side

4x - 17 +17 = 35+17

4x = 52

Divide each side by 4

4x/4 = 52/4

x =13

12x-17 = 12(13) -17 = 156-17 =139

8x+35 =8(13) +35=104+35=139