PSLE QRST is a trapezium with QR parallel to TS. QVR and UVT are straight lines and QU = UR. ∠UQT = 95°.
- Find ∠QTV.
- Find ∠RUV.
(a)
∠QTV
= 180° - 95° - 27°
= 58° (Angles sum of triangle)
(b)
∠QVT
= 68° (Alternate angles)
∠RQU
= 68° - 27°
= 41° (Exterior angle of a triangle)
∠RUV
= 180° - 41° - 41° - 27°
= 71° (Angles sum of triangle)
Answer(s): (a) 58°; (b) 71°