Question

the figure shows three lines that intersect at point n. 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°

Explanation:

Step1: Find measure of ∠KNL

Given ∠GNH ≅ ∠KNL, and from the figure, ∠GNH = 48°, so ∠KNL = 48°.

Step2: Use complementary angles

Complementary angles sum to 90°. Let ∠MNL = x. Then x + ∠KNL = 90°. Substitute ∠KNL = 48°: x + 48° = 90°. Solve for x: x = 90° - 48° = 42°.

Answer:

42° (corresponding to the option with 42°)