Question

Assume ABC = ADEF. If m A = 70m2 B = 47°, and m2 C = 63, what is

the measure of ZF?
A. 63
B. 70
C. 47
D. Cannot be determined

Answer 1

To determine the measure of angle ZF in congruent triangles ABC and ADEF, we analyze corresponding angles, concluding that angle F corresponds to angle C, and thus the measure of angle ZF is 63 degrees.

Step-by-step explanation:

To find the measure of angle ZF, we first need to understand that if two triangles, ABC and ADEF, are congruent (ABC = ADEF), then each corresponding angle in one triangle is equal to its corresponding angle in the other triangle. Given that the measure of angle A is 70 degrees (m A = 70), angle B is 47 degrees (m B = 47°), and angle C is 63 degrees (m C = 63°), and knowing that triangle ABC corresponds to triangle ADEF, we can infer the following:

• Angle A corresponds to angle D, so m D = 70°
• Angle B corresponds to angle E, so m E = 47°
• Angle C corresponds to angle F, so m F = 63°

Therefore, the measure of angle ZF is actually the measure of angle F, which is 63 degrees. The correct answer is A. 63