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

1.	In the given figure AB//CD. Find the values of x, y and z.
Answer» Given that AB // CD. From the figure (2x + 3x) + 80° = 180° (∵ interior angles on the same side of the transversal) ∴ 5x = 180° – 80° x = 100/5 = 20° Now 3x = y (∵ alternate interior angles) y = 3 x 20° = 60°. And y + z = 180° (∵ linear pair of angles) ∴ z = 180°-60° = lg0°

Answer»

Given that AB // CD. From the figure (2x + 3x) + 80° = 180°

(∵ interior angles on the same side of the transversal)

∴ 5x = 180° – 80°

x = 100/5 = 20°

Now 3x = y (∵ alternate interior angles)

y = 3 x 20° = 60°.

And y + z = 180°

(∵ linear pair of angles)

∴ z = 180°-60° = lg0°

Discussion