Question

find the measure of ∠cmh what is the value of x?

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. $\angle TMC$ and $\angle CMH$ are vertical angles. Given $\angle TMC = 116^{\circ}$, so $\angle CMH=116^{\circ}$. Also, we know that $\angle CMH=(x + 50)^{\circ}$.

Step2: Set up an equation

Set up the equation $x + 50=116$.

Step3: Solve for x

Subtract 50 from both sides of the equation: $x=116 - 50$.
$x = 66$

Answer:

$x = 66$