PSLE RSTU is a trapezium with RS parallel to UT. RWS and VWU are straight lines and RV = VS. ∠VRU = 96°.
- Find ∠RUW.
- Find ∠SVW.
(a)
∠RUW
= 180° - 96° - 30°
= 54° (Angles sum of triangle)
(b)
∠RWU
= 72° (Alternate angles)
∠SRV
= 72° - 30°
= 42° (Exterior angle of a triangle)
∠SVW
= 180° - 42° - 42° - 30°
= 66° (Angles sum of triangle)
Answer(s): (a) 54°; (b) 66°