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° - 23°
= 64° (Angles sum of triangle)
(b)
∠QVT
= 70° (Alternate angles)
∠RQU
= 70° - 23°
= 47° (Exterior angle of a triangle)
∠RUV
= 180° - 47° - 47° - 23°
= 63° (Angles sum of triangle)
Answer(s): (a) 64°; (b) 63°