Question

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

a. 70°
b. 47°
c. 63°
d. 53°

Answer 1

The measure of ∠F in ΔDEF, congruent to ΔABC, is 63°.

Step-by-step explanation:

Given that ΔABC = ΔDEF, and assuming that corresponding angles are equal, and we know m∠A = 70°, m∠B = 47°, and m∠C = 63°, we can deduce the measures of the angles in ΔDEF. Since ΔABC is congruent to ΔDEF, then:

• m∠D = m∠A = 70°
• m∠E = m∠B = 47°
• m∠F = m∠C = 63°

Therefore, the measure of ∠F is 63°.