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 = 43° and ∠XUY = 27°. Find
- ∠RUT
- ∠UWV
(a)
∠RUY
= (180° - 43°) ÷ 2
= 68.5° (Isosceles triangle)
∠RUT
= 180° - 68.5°
= 111.5° (Angles on a straight line)
(b)
∠WUV
= 68.5° - 27°
= 41.5°
∠UWV
= (180° - 41.5°) ÷ 2
= 69.25 ° (Isosceles triangle)
Answer(s): (a) 111.5°; (b) 69.25°