PSLEIn the figure, YZAB is a parallelogram. YWB and WAX are straight lines. ∠XAB = 149°, ∠YBA = 47° and ∠YAW = 20°.
- Find ∠ZAX.
- Find ∠ZYA.
(a)
∠ZAB
= 180° - 47°
= 133° (Interior angles)
∠ZAX
= 360° - 149° - 133°
= 78° (Angles at a point)
(b)
∠BAW
= 180° - 149°
= 31°(Angles on a straight line)
∠ZYA
= ∠YAB
= 31° + 20°
= 51° (Alternate angles)
Answer(s): (a) 78°; (b) 51°