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

Answer:

The value of $x$ is 10.

Step-by-step 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.