Question

In the adjacent figure AB||CD. Find the value of x, y and z.

Answer 1

Hope it is helpful to you.

Answer 2

Answer:

x = 20

y = 60

z = 120

Step-by-step explanation:

AB ║ CD

=> ∠CPQ = ∠PQR

=> ∠CPQ = 80°

80° + 2x° + 3x° = 180° (Straight line)

=> 5x° = 100°

=> x = 20

80° + 2x° + y° = 180° (sum of angles of a triangle)

=> 40° + y° = 100°

=> y° = 60°

=> y = 60

y° + z° = 180° (Straight line)

=> 60° + z° = 180°

=> z° = 120°

=> z = 120