Question

The figure shows three lines that intersect at point N.

3 lines intersect. Lines G K and J M intersect at point N to form a right angle. Line H L intersects the other lines at point N. Angle H N G is 48 degrees.
Angle GNH is congruent to angle KNL. Angle MNL is complementary to angle KNL. What is the measure of angle MNL?

42°
48°
132°
138°

Answer 1

42°

Reason: Angle GNH = 48°, and KNL is congruent to GNH so KNL = 48°. MNL is complementary to KNL, so MNL = 90° − 48° = 42°.