In the figure, TUW is a triangle with UW = UT, while STUV is a parallelogram and VUW is a straight line. Given ∠UVS = 96°, ∠RUW = 155° and ∠SRU = 58°, find
- ∠UTW
- ∠RUT
(a)
∠SVU
= ∠TUW
= 96° (Corresponding angles)
∠UTW
= (180° - 96°) ÷ 2
= 42° (Isosceles triangle)
(b)
∠RUT
= 360° - 155° - 96°
= 109° (Angles at a point)
Answer(s): (a) 42°; (b) 109°