In the figure, TUW is a triangle with UW = UT, while STUV is a parallelogram and VUW is a straight line. Given ∠UVS = 98°, ∠RUW = 149° and ∠SRU = 47°, find
- ∠UTW
- ∠RUT
(a)
∠SVU
= ∠TUW
= 98° (Corresponding angles)
∠UTW
= (180° - 98°) ÷ 2
= 41° (Isosceles triangle)
(b)
∠RUT
= 360° - 149° - 98°
= 113° (Angles at a point)
Answer(s): (a) 41°; (b) 113°