Question

question 1 of 10
assume $\triangle abc \cong \triangle def$. if $m\angle a = 70^\circ$, $m\angle b = 47^\circ$, and $m\angle c = 63^\circ$, what is the measure of $\angle f$
a. $63^\circ$
b. cannot be determined
c. $70^\circ$
d. $47^\circ$

Explanation:

Step1: Recall congruent triangles property

In congruent triangles, corresponding angles are equal. So, \(\triangle ABC \cong \triangle DEF\) implies \(\angle C\) corresponds to \(\angle F\).

Step2: Identify the measure of \(\angle C\)

Given \(m\angle C = 63^\circ\). Since \(\angle C\) corresponds to \(\angle F\) in congruent triangles, \(m\angle F = m\angle C\).

Answer:

A. \(63^\circ\)