Question

Angle APR is vertical with Angle SPL. If Angle APR = 13x - 30, and Angle SPL = 3x + 70, what is the value of x?

Answer 1

The value of
`x` is 10.

Explanation:

If APR and SPL are vertical angles, then we get that
`\angle APR = \angle SPL`. Given that
`\angle APR = 13\cdot x -30` and
`\angle SPL = 3\cdot x + 70`, we find that the value of
`x` is:

`13\cdot x - 30 = 3\cdot x +70`

`10\cdot x = 100`

`x = 10`

The value of
`x` is 10.