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° - 26°
= 58° (Angles sum of triangle)
(b)
∠SXV
= 68° (Alternate angles)
∠TSW
= 68° - 26°
= 42° (Exterior angle of a triangle)
∠TWX
= 180° - 42° - 42° - 26°
= 70° (Angles sum of triangle)
Answer(s): (a) 58°; (b) 70°