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 $\angle GNH$

$\angle GNH = 48^\circ$ (given in diagram)

Step2: Set $\angle KNL$ equal to $\angle GNH$

Since $\angle GNH \cong \angle KNL$, $\angle KNL = 48^\circ$

Step3: Calculate complementary angle

Complementary angles sum to $90^\circ$. Let $\angle MNL = x$.
$x + \angle KNL = 90^\circ$
$x = 90^\circ - 48^\circ$

Answer:

42°