PSLE STUV is a trapezium with ST parallel to VU. SXT and WXV are straight lines and SW = WT. ∠WSV = 96°.
- Find ∠SVX.
- Find ∠TWX.
(a)
∠SVX
= 180° - 96° - 28°
= 56° (Angles sum of triangle)
(b)
∠SXV
= 70° (Alternate angles)
∠TSW
= 70° - 28°
= 42° (Exterior angle of a triangle)
∠TWX
= 180° - 42° - 42° - 28°
= 68° (Angles sum of triangle)
Answer(s): (a) 56°; (b) 68°