PSLE STUV is a trapezium with ST parallel to VU. SXT and WXV are straight lines and SW = WT. ∠WSV = 91°.
- Find ∠SVX.
- Find ∠TWX.
(a)
∠SVX
= 180° - 91° - 21°
= 68° (Angles sum of triangle)
(b)
∠SXV
= 69° (Alternate angles)
∠TSW
= 69° - 21°
= 48° (Exterior angle of a triangle)
∠TWX
= 180° - 48° - 48° - 21°
= 63° (Angles sum of triangle)
Answer(s): (a) 68°; (b) 63°