PSLE STUV is a trapezium with ST parallel to VU. SXT and WXV are straight lines and SW = WT. ∠WSV = 98°.
- Find ∠SVX.
- Find ∠TWX.
(a)
∠SVX
= 180° - 98° - 30°
= 52° (Angles sum of triangle)
(b)
∠SXV
= 69° (Alternate angles)
∠TSW
= 69° - 30°
= 39° (Exterior angle of a triangle)
∠TWX
= 180° - 39° - 39° - 30°
= 72° (Angles sum of triangle)
Answer(s): (a) 52°; (b) 72°