Question

In the given figure, the triangles are congruent, Find the values of x and y.

Answer 1

We have,

According to given question,

$\Delta ABC\cong \Delta PQR$

Then,

$\angle ABC=\angle PQR$

$\Rightarrow x-{10}^o={75}^o$

$\Rightarrow x={85}^o$

And

$\angle ACB=\angle PRQ$

$\Rightarrow y-5^o={25}^o$

$\Rightarrow y={30}^o$

Hence, this is the answer.