The figure is not drawn to scale. SUVW is a trapezium and SU // WV. Given that SW = ST, ∠WST = 78° and ∠SUV = 99°.
- Find ∠UVW
- Find ∠STW
- Find ∠TWV
(a)
∠UVW
= 180° - 99°
= 81° (Interior angles, SU//WV)
(b)
∠STW
= (180° - 78°) ÷ 2
= 102° ÷ 2
= 51° (Isosceles triangle)
(c)
∠TWV
= ∠STW
= 51° (Alternate angles, SU//WV)
Answer(s): (a) 81°; (b) 51°; (c) 51°