In the figure, RSTU is a quadrilateral where ∠RST = 136° and ∠STU = 112°. ∠TUV = 77° and ST = TU. The point V on RU is such that SV is parallel to TU. Calculate
- ∠SUV
- ∠SRV
(a)
∠TUS
= (180° - 112°) ÷ 2
= 34° (Isosceles triangle)
∠SUV
= 77° - 34°
= 43°
(b)
∠SRV
= 360° - 112° - 77° - 136°
= 35° (Sum of angles in a quadrilateral)
Answer(s): (a) 43°; (b) 35°