Find the measure of x, y and z without actually measuring them.

1.	Find the measure of x, y and z without actually measuring them.
Answer» From the figure ∠y and 160° are vertically opposite angles and hence equal. ∴ ∠y=1600 Also ∠x = ∠z and (. vertically opposite angles) x + 160° = 180° (Linear pair of angles) ∴ ∠x = 180° – 160° = 20° ∠z = 20° (∵ ∠x, ∠z are vertically opposite) ∴ x = 20° y = 160° z = 20°

Answer»

From the figure ∠y and 160° are vertically opposite angles and hence equal.

∴ ∠y=1600

Also ∠x = ∠z and (. vertically opposite angles)

x + 160° = 180° (Linear pair of angles)

∴ ∠x = 180° – 160° = 20°

∠z = 20° (∵ ∠x, ∠z are vertically opposite)

∴ x = 20°

y = 160°

z = 20°

Discussion