PSLE QRST is a trapezium with QR parallel to TS. QVR and UVT are straight lines and QU = UR. ∠UQT = 96°.
- Find ∠QTV.
- Find ∠RUV.
(a)
∠QTV
= 180° - 96° - 26°
= 58° (Angles sum of triangle)
(b)
∠QVT
= 65° (Alternate angles)
∠RQU
= 65° - 26°
= 39° (Exterior angle of a triangle)
∠RUV
= 180° - 39° - 39° - 26°
= 76° (Angles sum of triangle)
Answer(s): (a) 58°; (b) 76°