Question

find the values of x and y.

Explanation:

Step1: Use property of congruent triangles

The figure shows two congruent triangles. Corresponding angles of congruent triangles are equal. So $x = 74$.

Step2: Calculate y in a triangle

In a triangle, the sum of interior - angles is $180^{\circ}$. In the right - hand triangle, we know one angle is $50^{\circ}$ and another is $74^{\circ}$. So $y=180-(50 + 74)$.
$y = 180 - 124=56$.

Answer:

$x = 74$
$y = 56$