TUVW is a quadrilateral and OTWV is a trapezium in which OT // WV and ∠UTW = 107°, ∠TWV = 126°, ∠UVW = 63° and WV = WT. Find
- ∠TUO
- ∠WTO
- ∠TVW.
(a)
∠TUO
= 360° - 126° -107° - 63°
= 64° (Sum of angles in a quadrilateral)
(b)
∠WTO
= 180° - 126°
= 54° (Interior angles, TO//WC)
(c)
∠TVW
= (180° - 126°) ÷ 2
= 54 ÷ 2
= 27° (Isosceles triangle)
Answer(s): (a) 64°; (b) 54°; (c) 27°