QRST is a quadrilateral and OQTS is a trapezium in which OQ // TS and ∠RQT = 111°, ∠QTS = 124°, ∠RST = 62° and TS = TQ. Find
- ∠QRO
- ∠TQO
- ∠QST.
(a)
∠QRO
= 360° - 124° -111° - 62°
= 63° (Sum of angles in a quadrilateral)
(b)
∠TQO
= 180° - 124°
= 56° (Interior angles, QO//TC)
(c)
∠QST
= (180° - 124°) ÷ 2
= 56 ÷ 2
= 28° (Isosceles triangle)
Answer(s): (a) 63°; (b) 56°; (c) 28°