In the figure, STV is a triangle with TV = TS, while RSTU is a parallelogram and UTV is a straight line. Given ∠TUR = 100°, ∠QTV = 141° and ∠RQT = 56°, find
- ∠TSV
- ∠QTS
(a)
∠RUT
= ∠STV
= 100° (Corresponding angles)
∠TSV
= (180° - 100°) ÷ 2
= 40° (Isosceles triangle)
(b)
∠QTS
= 360° - 141° - 100°
= 119° (Angles at a point)
Answer(s): (a) 40°; (b) 119°