Question

Assume AABC = ADEF. If m∠A = 70°, m∠B = 47°, and m∠C = 63°, what is the measure of ∠F?

A. 47°
B. 70°
C. Cannot be determined
D. 63°

Answer 1

The measure of ∠F in congruent triangles ABC and DEF is 63°, corresponding to ∠C in triangle ABC.

Step-by-step explanation:

The question asks us to find the measure of ∠F given that triangles ABC and DEF are congruent, with known angle measures for ∠A, ∠B, and ∠C. We're given that the measure of ∠A is 70°, the measure of ∠B is 47°, and the measure of ∠C is 63°. Since the triangles ABC and DEF are congruent, corresponding angles are equal. Therefore, the measure of ∠F must be equal to the measure of ∠C.

Thus, the measure of ∠F is 63°.