In the figure, TUX and WUV are right-angled triangles. XU is parallel to WV. Find
- ∠UVW
- ∠UXW
(a)
∠WUX
= 360° - 90° - 90° - 121°
= 59° (Angles at a point)
∠UWV = ∠WUX = 59° (Alternate angles)
∠UVW
= 180° - ∠WUV - ∠UWV
= 180° - 90° - 59°
= 31° (Angles sum of triangle)
(b)
∠UXW
= 180° - ∠WUX - ∠UWX
= 180° - 59° - 88°
= 33° (Angles sum of triangle)
Answer(s): (a) 31°; (b) 33°
