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 = 42° and ∠XUY = 25°. Find
- ∠RUT
- ∠UWV
(a)
∠RUY
= (180° - 42°) ÷ 2
= 69° (Isosceles triangle)
∠RUT
= 180° - 69°
= 111° (Angles on a straight line)
(b)
∠WUV
= 69° - 25°
= 44°
∠UWV
= (180° - 44°) ÷ 2
= 68 ° (Isosceles triangle)
Answer(s): (a) 111°; (b) 68°