Question

Two congruent triangles, $△ABC$ and $△QRP$, have $\angle A$ = $\angle Q$ = 40${}^{\circ }$, $\angle R$ = 65${}^{\circ }$ and QR = AB, then $\angle B$ = ____ .

• A. 50${}^{\circ }$
• B. 75${}^{\circ }$
• C. 65${}^{\circ }$
• D. 80${}^{\circ }$

Answer 1

The correct option is C 65${}^{\circ }$

Since $△$ABC $\cong$ $△$QRP,
corresponding parts of the triangles are equal.

$\therefore \angle$B corresponds to $\angle$R.

So, $\angle$B = $\angle$R = 65${}^{\circ }$.