In the figure, RTV and STU are straight lines. TR = TS and UT = UV. If ∠SRT = 58°, find
- ∠RTU
- ∠TUV
(a)
∠RTU
= 58° + 58°
= 116° (Exterior angle of a triangle)
(b)
∠UTV
= 180° - 116°
= 64° (Angles on a straight line)
∠TUV
= 180° - 64° - 64°
= 52° (Isosceles triangle)
Answer(s): (a) 116°; (b) 52°