PSLE QRST is a trapezium with QR parallel to TS. QVR and UVT are straight lines and QU = UR. ∠UQT = 93°.
- Find ∠QTV.
- Find ∠RUV.
(a)
∠QTV
= 180° - 93° - 27°
= 60° (Angles sum of triangle)
(b)
∠QVT
= 69° (Alternate angles)
∠RQU
= 69° - 27°
= 42° (Exterior angle of a triangle)
∠RUV
= 180° - 42° - 42° - 27°
= 69° (Angles sum of triangle)
Answer(s): (a) 60°; (b) 69°