Question

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

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: $x=15 + 20=35$.

Step3: Find the measure of ∠MHJ

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

Answer:

$50^{\circ}$