In the figure, RSTU is a quadrilateral where ∠RST = 136° and ∠STU = 120°. ∠TUV = 70° and ST = TU. The point V on RU is such that SV is parallel to TU. Calculate
- ∠SUV
- ∠SRV
(a)
∠TUS
= (180° - 120°) ÷ 2
= 30° (Isosceles triangle)
∠SUV
= 70° - 30°
= 40°
(b)
∠SRV
= 360° - 120° - 70° - 136°
= 34° (Sum of angles in a quadrilateral)
Answer(s): (a) 40°; (b) 34°