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: Identify ∠GNH value

From the figure, $\angle GNH = 48^\circ$

Step2: Find ∠KNL via congruence

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

Step3: Use complementary angle definition

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

Step4: Solve for ∠MNL

$x = 90^\circ - 48^\circ = 42^\circ$

Answer:

42°