In the figure, TUX and WUV are right-angled triangles. XU is parallel to WV. Find
- ∠UVW
- ∠UXW
(a)
∠WUX
= 360° - 90° - 90° - 120°
= 60° (Angles at a point)
∠UWV = ∠WUX = 60° (Alternate angles)
∠UVW
= 180° - ∠WUV - ∠UWV
= 180° - 90° - 60°
= 30° (Angles sum of triangle)
(b)
∠UXW
= 180° - ∠WUX - ∠UWX
= 180° - 60° - 87°
= 33° (Angles sum of triangle)
Answer(s): (a) 30°; (b) 33°