Question

Find the value of the angles x, y, and z in each of the following:

(i)	(ii)

Answer 1

(i) Since ∠x and ∠55° are vertically opposite angles,

∠x = 55°

∠x + ∠y = 180° (Linear pair)

55° + ∠y = 180°

∠y = 180º − 55º = 125°

∠y = ∠z (Vertically opposite angles)

∠z = 125°

(ii) ∠z = 40° (Vertically opposite angles)

∠y + ∠z = 180° (Linear pair)

∠y = 180° − 40° = 140°

40° + ∠x + 25° = 180° (Angles on a straight line)

65° + ∠x = 180°

∠x = 180° − 65° = 115°