PSLE RSTU is a trapezium with RS parallel to UT. RWS and VWU are straight lines and RV = VS. ∠VRU = 98°.
- Find ∠RUW.
- Find ∠SVW.
(a)
∠RUW
= 180° - 98° - 28°
= 54° (Angles sum of triangle)
(b)
∠RWU
= 68° (Alternate angles)
∠SRV
= 68° - 28°
= 40° (Exterior angle of a triangle)
∠SVW
= 180° - 40° - 40° - 28°
= 72° (Angles sum of triangle)
Answer(s): (a) 54°; (b) 72°