In the figure, STV is a triangle with TV = TS, while RSTU is a parallelogram and UTV is a straight line. Given ∠TUR = 92°, ∠QTV = 138° and ∠RQT = 58°, find
- ∠TSV
- ∠QTS
(a)
∠RUT
= ∠STV
= 92° (Corresponding angles)
∠TSV
= (180° - 92°) ÷ 2
= 44° (Isosceles triangle)
(b)
∠QTS
= 360° - 138° - 92°
= 130° (Angles at a point)
Answer(s): (a) 44°; (b) 130°