In the figure, TUX and WUV are right-angled triangles. XU is parallel to WV. Find
- ∠UVW
- ∠UXW
(a)
∠WUX
= 360° - 90° - 90° - 126°
= 54° (Angles at a point)
∠UWV = ∠WUX = 54° (Alternate angles)
∠UVW
= 180° - ∠WUV - ∠UWV
= 180° - 90° - 54°
= 36° (Angles sum of triangle)
(b)
∠UXW
= 180° - ∠WUX - ∠UWX
= 180° - 54° - 83°
= 43° (Angles sum of triangle)
Answer(s): (a) 36°; (b) 43°