In the figure, RSTU is a trapezium and RUVY is a rhombus. RU is parallel to ST and UV = UW. YUT and UXW are straight lines. ∠URY = 48° and ∠XUY = 28°. Find
- ∠RUT
- ∠UWV
(a)
∠RUY
= (180° - 48°) ÷ 2
= 66° (Isosceles triangle)
∠RUT
= 180° - 66°
= 114° (Angles on a straight line)
(b)
∠WUV
= 66° - 28°
= 38°
∠UWV
= (180° - 38°) ÷ 2
= 71 ° (Isosceles triangle)
Answer(s): (a) 114°; (b) 71°