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 = 47° and ∠XUY = 31°. Find
- ∠RUT
- ∠UWV
(a)
∠RUY
= (180° - 47°) ÷ 2
= 66.5° (Isosceles triangle)
∠RUT
= 180° - 66.5°
= 113.5° (Angles on a straight line)
(b)
∠WUV
= 66.5° - 31°
= 35.5°
∠UWV
= (180° - 35.5°) ÷ 2
= 72.25 ° (Isosceles triangle)
Answer(s): (a) 113.5°; (b) 72.25°