Question

question 7 of 25 in the figure below, ∠abd measures 32°. what is the measure of ∠abc? a. 42° b. 64° c. 32° d. 74°

Explanation:

Step1: Identify congruent triangles

Triangles BAD and BCD are congruent (HL: BA=BC, AD=CD, BD common hypotenuse).

Step2: Corresponding angles equal

∠ABD = ∠CBD = 32° (corresponding angles in congruent triangles).

Step3: Sum angles for ∠ABC

∠ABC = ∠ABD + ∠CBD = 32° + 32° = 64°.

Answer:

B. 64°