PSLEIn the figure, YZAB is a parallelogram. YWB and WAX are straight lines. ∠XAB = 152°, ∠YBA = 44° and ∠YAW = 22°.
- Find ∠ZAX.
- Find ∠ZYA.
(a)
∠ZAB
= 180° - 44°
= 136° (Interior angles)
∠ZAX
= 360° - 152° - 136°
= 72° (Angles at a point)
(b)
∠BAW
= 180° - 152°
= 28°(Angles on a straight line)
∠ZYA
= ∠YAB
= 28° + 22°
= 50° (Alternate angles)
Answer(s): (a) 72°; (b) 50°