PSLE QRST is a trapezium with QR parallel to TS. QVR and UVT are straight lines and QU = UR. ∠UQT = 95°.
- Find ∠QTV.
- Find ∠RUV.
(a)
∠QTV
= 180° - 95° - 28°
= 57° (Angles sum of triangle)
(b)
∠QVT
= 67° (Alternate angles)
∠RQU
= 67° - 28°
= 39° (Exterior angle of a triangle)
∠RUV
= 180° - 39° - 39° - 28°
= 74° (Angles sum of triangle)
Answer(s): (a) 57°; (b) 74°