Please help me with this geometry problem.

C) 48, 42

Step-by-step explanation:

Assuming that the shape is a rectangle, we know that m<H=90. Also, the angle addition postulate tells us that m<1 + m<2 = m<H. This means that we can create the equation 42 + m<2 = 90. Then, subtract 42 from both sides to get the answer, m<2=48 degrees.

Next, since the shape is a rectangle, opposite sides are parallel and line HJ works as a transversal. Thus, alternate interior angles applies. Alternate interior angles are angles that are on opposite sides of a transversal while being inbetween the 2 parallel lines. Additionally, alternate interior angles are always congruent. Therefore, since m<1=42, m<4 must also equal 42 degrees.

nlgqer

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