Question

question 10 of 10
assume \\( \triangle a b c \cong \triangle d e f \\). 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. \\( 70 ^ { \circ } \\)
c. cannot be determined
d. \\( 47 ^ { \circ } \\)

Explanation:

Step1: Use the property of congruent triangles

Since \(\triangle ABC\cong\triangle DEF\), corresponding angles are equal. That is \(\angle A=\angle D\), \(\angle B = \angle E\), \(\angle C=\angle F\).

Answer:

A. \(63^{\circ}\)