Question

What is mMHJ? A) 35° B) 50° C) 72.5° D) 92.5°

Answer 1

∠MHJ and ∠LHK are vertical angles, so:

$mMHJ=mLHK\\\\2x-20=x+15\\\\2x-x=15+20\\\\\boxed{x=35}$

and

$mMHJ=(2x-20)^\circ=(2\cdot35-20)^\circ=(70-20)^\circ=\boxed{50^\circ}$

Answer B)