Question

If < A and < B are vertical angles, and < A = 2x - 11 degrees, and < B = x + 7 degrees, find x.

Answer 1

x=18

Explanation:

Vertical angles are congruent. This means that they are equal to each other. So, to solve set them equal to each other and isolate x. First, set up the equation. Then, subtract x from both sides. Finally, add 11 to both sides and simplify.

1)
`2x-11=x+7`

2)
`x-11=7`

3)
`x=18`