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° - 25°
= 58° (Angles sum of triangle)
(b)
∠SXV
= 72° (Alternate angles)
∠TSW
= 72° - 25°
= 47° (Exterior angle of a triangle)
∠TWX
= 180° - 47° - 47° - 25°
= 61° (Angles sum of triangle)
Answer(s): (a) 58°; (b) 61°