Question

$\angle e$ and $\angle f$ are vertical angles with $m\angle e = 5x + 10$ and $m\angle f = 7x - 12$.
what is the value of x?
enter your answer in the box.
$x = \square$

Explanation:

Step1: Set angles equal (vertical angles)

$5x + 10 = 7x - 12$

Step2: Isolate x terms

$10 + 12 = 7x - 5x$

Step3: Simplify and solve for x

$22 = 2x$
$x = \frac{22}{2}$

Answer:

$11$