In the figure, RSTU is a quadrilateral where ∠RST = 132° and ∠STU = 116°. ∠TUV = 75° and ST = TU. The point V on RU is such that SV is parallel to TU. Calculate
- ∠SUV
- ∠SRV
(a)
∠TUS
= (180° - 116°) ÷ 2
= 32° (Isosceles triangle)
∠SUV
= 75° - 32°
= 43°
(b)
∠SRV
= 360° - 116° - 75° - 132°
= 37° (Sum of angles in a quadrilateral)
Answer(s): (a) 43°; (b) 37°