Question

In the figure given below, $△PQR\cong △UTS$ bycriteria for congruency of triangles.

• A. AAS
• B. SAS
• C. RHS

Answer 1

The correct option is A AAS

We know that, sum of all the internal angles of a triangle is 180°.
In $△PQR\text{and}△UTS$, $\left(\angle R\text{and}\angle S\right)=180°-(90°+50°)=40°$
In $△PQR\text{and}△UTS$
$\angle P=\angle U=50°$ .... (Given)
RP = US = 5cm .... (Given)
$\angle R=\angle S=40°$

So, by ASA criteria for congruency of triangles,
$△PQR\cong △UTS$.