PSLE QRST is a trapezium with QR parallel to TS. QVR and UVT are straight lines and QU = UR. ∠UQT = 92°.
- Find ∠QTV.
- Find ∠RUV.
(a)
∠QTV
= 180° - 92° - 24°
= 64° (Angles sum of triangle)
(b)
∠QVT
= 67° (Alternate angles)
∠RQU
= 67° - 24°
= 43° (Exterior angle of a triangle)
∠RUV
= 180° - 43° - 43° - 24°
= 70° (Angles sum of triangle)
Answer(s): (a) 64°; (b) 70°