Question

Two angles are vertical angles. One angle is ( 8x + 15 ) and the other angle is 143. Solve for x.

Answer 1

x = 16

Explanation:

Verticle angles are always congruent, so:

(8x + 15) = 143

Now, we can solve to isolate x:

8x + 15 - 15 = 143 - 15 (subtract 15 from both sides)

8x/8 = 128/8 (divide both sides by 8)

x = 16

You can always plug in the value of x to the original equation to check your answer:

8(16) + 15 = 143