PSLE QRST is a trapezium with QR parallel to TS. QVR and UVT are straight lines and QU = UR. ∠UQT = 98°.
- Find ∠QTV.
- Find ∠RUV.
(a)
∠QTV
= 180° - 98° - 30°
= 52° (Angles sum of triangle)
(b)
∠QVT
= 72° (Alternate angles)
∠RQU
= 72° - 30°
= 42° (Exterior angle of a triangle)
∠RUV
= 180° - 42° - 42° - 30°
= 66° (Angles sum of triangle)
Answer(s): (a) 52°; (b) 66°