PSLEIn the figure, YZAB is a parallelogram. YWB and WAX are straight lines. ∠XAB = 147°, ∠YBA = 46° and ∠YAW = 19°.
- Find ∠ZAX.
- Find ∠ZYA.
(a)
∠ZAB
= 180° - 46°
= 134° (Interior angles)
∠ZAX
= 360° - 147° - 134°
= 79° (Angles at a point)
(b)
∠BAW
= 180° - 147°
= 33°(Angles on a straight line)
∠ZYA
= ∠YAB
= 33° + 19°
= 52° (Alternate angles)
Answer(s): (a) 79°; (b) 52°