PSLE In the figure, QRT and VUT are straight lines and UR is parallel to TS. ∠UVQ is a right angle, ∠VQR = 54°, ∠QRS = 119° and ∠TUR = 67°.
- Find ∠QRU.
- Find ∠RST.
(a)
∠QTV
= 180° - 90° - 54°
= 36° (Angles sum of triangle)
∠TRU
= 180° - 67° - 36°
= 77° (Angles sum of triangle)
∠QRU
= 180° - 77°
= 119° (Angles on a straight line)
(b)
∠TRS
= 360° - 119° - 77° - 119°
= 45° (Angles at a point)
∠RST
= 180° - 45° - 45°
= 90°
Answer(s): (a) 119°; (b) 90°