what is m∠mhj?\n35°\n50°\n72.5°\n92.5°\n(2x - 20)°\n(x + 15)°

Explanation:

Step1: Set up equation

Since $\angle MHJ$ and $\angle LHK$ are vertical - angles, they 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 $\angle MHJ$

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

Answer:

$50^{\circ}$