The figure is not drawn to scale. SUVW is a trapezium and SU // WV. Given that SW = ST, ∠WST = 79° and ∠SUV = 103°.
- Find ∠UVW
- Find ∠STW
- Find ∠TWV
(a)
∠UVW
= 180° - 103°
= 77° (Interior angles, SU//WV)
(b)
∠STW
= (180° - 79°) ÷ 2
= 101° ÷ 2
= 50.5° (Isosceles triangle)
(c)
∠TWV
= ∠STW
= 50.5° (Alternate angles, SU//WV)
Answer(s): (a) 77°; (b) 50.5°; (c) 50.5°