In the figure, UVX and ZYlW are straight lines. ∠UZY = 43°, ∠ZUY = 44°, ∠VWX = 28° and ∠VXW = 119°. Find
- ∠UYV
- ∠YUV
(a)
∠UYZ
= 180° - 44° - 43°
= 93° (Angles sum of triangle)
∠UYV
= 180° - 93°
= 87° (Angles on a straight line)
(b)
∠XVW
= 180° - 119° - 28°
= 33° (Angles sum of triangle)
∠UVY = ∠XVW = 33° (Vertically opposite angles)
∠YUV
= 180° - 87° - 33°
= 60° (Angles sum of triangle)
Answer(s): (a) 87°; (b) 60°