Question

In $△$ ABC $\sim$ $△$ PQR by AAA criteria and $\angle B=\angle R={60}^{\circ }$. Find $\angle$ RPQ.

• A. ${120}^{\circ }$
• B. ${60}^{\circ }$
• C. ${30}^{\circ }$
• D. ${90}^{\circ }$

Answer 1

The correct option is B

${60}^{\circ }$

$△$ ABC $\sim$ $△$ PQR by AAA criteria.
Hence, $\angle B=\angle Q={60}^{\circ },\angle C=\angle R={60}^{\circ }$ and $\angle A=\angle P$
As sum of the angles in a triangle is ${180}^{\circ },\angle A=\angle P={60}^{\circ }$