Question

if AB||CD, <APQ=50 and <PRD=127,find x and y

Answer 1

<apq=x = 50 ( alternate interior angel)
<prd=apr (alternate interior angel)
127-50 =y
y=70

Answer 2

Angle x = Angle APQ (Alt int angles) ( AB||CD and PQ as transversal)

Angle x = 50 degrees.

In triangle PQR,

Angle PRD = Angle x + Angle y ( Ext Angle Property)

127 = 50+ angle y
Angle y = 127-50

Angle y = 77