TUVW is a quadrilateral and OTWV is a trapezium in which OT // WV and ∠UTW = 110°, ∠TWV = 120°, ∠UVW = 68° and WV = WT. Find
- ∠TUO
- ∠WTO
- ∠TVW.
(a)
∠TUO
= 360° - 120° -110° - 68°
= 62° (Sum of angles in a quadrilateral)
(b)
∠WTO
= 180° - 120°
= 60° (Interior angles, TO//WC)
(c)
∠TVW
= (180° - 120°) ÷ 2
= 60 ÷ 2
= 30° (Isosceles triangle)
Answer(s): (a) 62°; (b) 60°; (c) 30°