TUVW is a quadrilateral and OTWV is a trapezium in which OT // WV and ∠UTW = 111°, ∠TWV = 122°, ∠UVW = 62° and WV = WT. Find
- ∠TUO
- ∠WTO
- ∠TVW.
(a)
∠TUO
= 360° - 122° -111° - 62°
= 65° (Sum of angles in a quadrilateral)
(b)
∠WTO
= 180° - 122°
= 58° (Interior angles, TO//WC)
(c)
∠TVW
= (180° - 122°) ÷ 2
= 58 ÷ 2
= 29° (Isosceles triangle)
Answer(s): (a) 65°; (b) 58°; (c) 29°