PSLE STUV is a trapezium with ST parallel to VU. SXT and WXV are straight lines and SW = WT. ∠WSV = 95°.
- Find ∠SVX.
- Find ∠TWX.
(a)
∠SVX
= 180° - 95° - 23°
= 62° (Angles sum of triangle)
(b)
∠SXV
= 68° (Alternate angles)
∠TSW
= 68° - 23°
= 45° (Exterior angle of a triangle)
∠TWX
= 180° - 45° - 45° - 23°
= 67° (Angles sum of triangle)
Answer(s): (a) 62°; (b) 67°