Mathematics Question on Lines Parallel to the Same Line

Question

In Figure, if AB $||$ CD, $∠$ APQ = 50° and $∠$ PRD = 127°, find x and y.
AB||CD, ∠APQ=50°

Accepted Answer

$∠$ APR= $∠$ PRD [Alternate interior angles]
50°+y=127°
y=127°−50°
y=77°
Also,
$∠$ APQ= $∠$ PQR [Alternate interior angles]
50°= x
$∴$ x=50° and y=77°