Assume ΔΔABC ΔΔDEF. If mA = 70 , mB = 47 , and mC = 63 , what is the measure of F?A.47B.Cannot be determinedC.63D.70

1. Break Down the Problem

We are given that triangles $\Delta ABC$ and $\Delta DEF$ are congruent. We need to find the measure of angle $F$ given the measures of angles $A$, $B$, and $C$ from triangle $ABC$.

2. Relevant Concepts

Since the triangles are congruent, corresponding angles are equal. Therefore, we need to first verify the relationship and then find the measure of angle $F$:

• $mA = mD$
• $mB = mE$
• $mC = mF$

3. Analysis and Detail

Given:

• $mA = 70^\circ$
• $mB = 47^\circ$
• $mC = 63^\circ$

Since the triangles are congruent,

• $mF = mC = 63^\circ$

4. Verify and Summarize

The corresponding angle $F$ in triangle $DEF$ matches angle $C$ from triangle $ABC$ due to congruence. Therefore, the measure of angle $F$ is confirmed to be $63^\circ$.

Final Answer

The measure of angle $F$ is $63^\circ$, which corresponds to option C.63.