Question

33. In the figure below, AP is parallel to CD Angle PAB is equal to 135 and angle DCB is equal to
​

Answer 1

Draw a line LM parallel to AB passing through point Q

Now, ∠PQM=35o(Alternate Interior Angle)

Also, We know that Adjacent Angles are Supplementary 

So, ∠MQR+135o=180o⇒∠MQR=45o

Hence, ∠PQR=35o+45o=80o