Question

In the given figure AB // CD. Find the
values of x, y and z​

Answer 1

Answer:

given,

AB||CD and pq is transversal

angle QPD +PQR=180°

2x+3x+80°=180°

5x=180-80

x=100/5

x=20

then,

angle CPQ+2x+3x=180°

CPQ+5x=180°

CPQ+5×20=180°

CPQ=180°-100°

=80°

then,

CPR=PRB (alt. int. angle )

80°+40°=z°

z=120°

then,

y+z=180° (linear pair )

y+120°=180°

y=180-120

... y=60°