In the figure, TUX and WUV are right-angled triangles. XU is parallel to WV. Find
- ∠UVW
- ∠UXW
(a)
∠WUX
= 360° - 90° - 90° - 124°
= 56° (Angles at a point)
∠UWV = ∠WUX = 56° (Alternate angles)
∠UVW
= 180° - ∠WUV - ∠UWV
= 180° - 90° - 56°
= 34° (Angles sum of triangle)
(b)
∠UXW
= 180° - ∠WUX - ∠UWX
= 180° - 56° - 82°
= 42° (Angles sum of triangle)
Answer(s): (a) 34°; (b) 42°