Question

question 3 of 25 in the figure below, ∠abd measures 37°. what is the measure of ∠abc? a. 47° b. 37° c. 64° d. 74°

Explanation:

Step1: Observe congruent triangles

Triangles $\triangle BCD$ and $\triangle BAD$ are congruent.

Step2: Determine angle measure

Since $\angle ABD = 37^{\circ}$, and $\angle ABC = 2\angle ABD$, then $\angle ABC=2\times37^{\circ}=74^{\circ}$.

Answer:

D. $74^{\circ}$