PSLEIn the figure, YZAB is a parallelogram. YWB and WAX are straight lines. ∠XAB = 150°, ∠YBA = 46° and ∠YAW = 19°.
- Find ∠ZAX.
- Find ∠ZYA.
(a)
∠ZAB
= 180° - 46°
= 134° (Interior angles)
∠ZAX
= 360° - 150° - 134°
= 76° (Angles at a point)
(b)
∠BAW
= 180° - 150°
= 30°(Angles on a straight line)
∠ZYA
= ∠YAB
= 30° + 19°
= 49° (Alternate angles)
Answer(s): (a) 76°; (b) 49°