In the given figure, the lines l and m intersect at point P. Observe t

1.	In the given figure, the lines l and m intersect at point P. Observe the figure and find the values of x, y and z.
Answer» Given l and m are intersecting lines at P. ∠y = 20° (vertically opposite angles) ∠x = ∠z (vertically opposite angles) ∠y + ∠x = 180° (linear pair) ⇒ 20° + ∠x = 180° ⇒ 20° + ∠x – 20° = 180°- 20 ⇒ ∠x = 160° ∴ ∠x = ∠z = 160° ∠x = 160°, ∠y = 20° and ∠z = 160°.

In the given figure, the lines l and m intersect at point P. Observe the figure and find the values of x, y and z.

Answer»

Given l and m are intersecting lines at P.

∠y = 20° (vertically opposite angles)

∠x = ∠z (vertically opposite angles)

∠y + ∠x = 180° (linear pair)

⇒ 20° + ∠x = 180°

⇒ 20° + ∠x – 20° = 180°- 20

⇒ ∠x = 160°

∴ ∠x = ∠z = 160° ∠x = 160°, ∠y = 20° and ∠z = 160°.