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° - 21°
= 66° (Angles sum of triangle)
(b)
∠QVT
= 71° (Alternate angles)
∠RQU
= 71° - 21°
= 50° (Exterior angle of a triangle)
∠RUV
= 180° - 50° - 50° - 21°
= 59° (Angles sum of triangle)
Answer(s): (a) 66°; (b) 59°