PSLE STUV is a trapezium with ST parallel to VU. SXT and WXV are straight lines and SW = WT. ∠WSV = 97°.
- Find ∠SVX.
- Find ∠TWX.
(a)
∠SVX
= 180° - 97° - 27°
= 56° (Angles sum of triangle)
(b)
∠SXV
= 69° (Alternate angles)
∠TSW
= 69° - 27°
= 42° (Exterior angle of a triangle)
∠TWX
= 180° - 42° - 42° - 27°
= 69° (Angles sum of triangle)
Answer(s): (a) 56°; (b) 69°