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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°

User Abed Hawa
by
8.5k points

1 Answer

5 votes

Answer:

The measure of angle MNL is
42\°

Explanation:

see the attached figure to better understand the problem

In this problem we know that

angle GNH is congruent to angle KNL


m<GNH=m<KNL -----> by vertical angles


m<GNH=48\°

so


m<KNL=48\°

Find the measure of angle MNL


m<MNL+m<KNL=90\° ------> by complementary angles

Substitute and solve for m<MNL


m<MNL+48\°=90\°


m<MNL=90\°-48\°=42\°


Angle GNH is congruent to angle KNL. Angle MNL is complementary to angle KNL. What-example-1
User Faizan Younus
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9.1k points