Question

If a pair of vertical angles measure `5x - 55` and `3x -23`, what are the measures of the angles?

Answer 1

`165°`

Explanation:

Angles A and B are vertical angles in this image: The measures of vertical angles are equal to each other. Let angle A= 5x-55 and let angle B= 3x-23. Given that angle A = angle B:
`5x-55=3x-23`
Solving for x:
`2x=88`
`x=44`
Substituting x in angle A:
`A=5(44)-55`
`A=165°=B`