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 = 40° and ∠XUY = 30°. Find
- ∠RUT
- ∠UWV
(a)
∠RUY
= (180° - 40°) ÷ 2
= 70° (Isosceles triangle)
∠RUT
= 180° - 70°
= 110° (Angles on a straight line)
(b)
∠WUV
= 70° - 30°
= 40°
∠UWV
= (180° - 40°) ÷ 2
= 70 ° (Isosceles triangle)
Answer(s): (a) 110°; (b) 70°