Question

what is m∠mhj? 35° 50° 72.5° 92.5° (2x - 20)° (x + 15)° m h k l j

Explanation:

Step1: Set up equation using vertical - angle property

Vertical angles are equal. So, $2x - 20=x + 15$.

Step2: Solve for $x$

Subtract $x$ from both sides: $2x-x-20=x - x+15$, which gives $x - 20=15$. Then add 20 to both sides: $x=15 + 20$, so $x = 35$.

Step3: Find the measure of $\angle MHJ$

Substitute $x = 35$ into the expression for $\angle MHJ$ which is $2x-20$. So, $m\angle MHJ=2\times35 - 20=70 - 20=50^{\circ}$.

Answer:

$50^{\circ}$