PSLEIn the figure, YZAB is a parallelogram. YWB and WAX are straight lines. ∠XAB = 153°, ∠YBA = 48° and ∠YAW = 20°.
- Find ∠ZAX.
- Find ∠ZYA.
(a)
∠ZAB
= 180° - 48°
= 132° (Interior angles)
∠ZAX
= 360° - 153° - 132°
= 75° (Angles at a point)
(b)
∠BAW
= 180° - 153°
= 27°(Angles on a straight line)
∠ZYA
= ∠YAB
= 27° + 20°
= 47° (Alternate angles)
Answer(s): (a) 75°; (b) 47°