Question

1. given ( mangle c = 63^{circ} ). find the measures of ( angle 1 ) and ( angle 2 ).

Explanation:

Step1: Use the property of congruent triangles

Since the two triangles are congruent (by SSS - Side - Side - Side congruence as all three sides are marked equal), \(\angle2=\angle C\).

Step2: Find \(\angle1\)

Because the two triangles are congruent, \(\angle1\) and \(\angle2\) are angles in congruent triangles. Also, in the given figure, we know that \(\angle1 = \angle2\) (corresponding parts of congruent triangles).

Answer:

\(m\angle1 = 63^{\circ}\), \(m\angle2=63^{\circ}\)