Question

in the following diagram AB parallel to CD find x y z find them​

Answer 1

Answer:

angle QPR = 180° - angle APR(130°)

= 50°

angle PQR = 180° - angle BQR(70)

= 110°

Now angle y = 180 - angle QPR - angle PQR

= 180 - 50 - 110

y = 20°

Now as AB is parallel to CD

angle BQR + angle QRD = 180

therefore angle QRD = 180 - 70

z = 110°

Now x+y+z = 180

therefore x = 180 - 110 -20

x = 180 - 130

x = 50