PSLE QRST is a trapezium with QR parallel to TS. QVR and UVT are straight lines and QU = UR. ∠UQT = 92°.
- Find ∠QTV.
- Find ∠RUV.
(a)
∠QTV
= 180° - 92° - 25°
= 63° (Angles sum of triangle)
(b)
∠QVT
= 70° (Alternate angles)
∠RQU
= 70° - 25°
= 45° (Exterior angle of a triangle)
∠RUV
= 180° - 45° - 45° - 25°
= 65° (Angles sum of triangle)
Answer(s): (a) 63°; (b) 65°