Question

what is ( mangle mhj )?
( 35 ^ { circ } )
( 50 ^ { circ } )
( 72.5 ^ { circ } )
( 92.5 ^ { circ } )

Explanation:

Step1: Identify Vertical Angles

Angles \((x + 15)^\circ\) and \((2x - 20)^\circ\) are vertical angles, so they are equal.

$$ x + 15 = 2x - 20 $$

Step2: Solve for \(x\)

Subtract \(x\) from both sides:

$$ 15 = x - 20 $$

Add 20 to both sides:

$$ x = 35 $$

Step3: Find \(m\angle MHJ\)

Substitute \(x = 35\) into \((2x - 20)^\circ\):

$$ 2(35) - 20 = 70 - 20 = 50^\circ $$

Answer:

\(50^\circ\) (corresponding to the option "50°")