In the figure, STW and VTU are right-angled triangles. WT is parallel to VU. Find
- ∠TUV
- ∠TWV
(a)
∠VTW
= 360° - 90° - 90° - 122°
= 58° (Angles at a point)
∠TVU = ∠VTW = 58° (Alternate angles)
∠TUV
= 180° - ∠VTU - ∠TVU
= 180° - 90° - 58°
= 32° (Angles sum of triangle)
(b)
∠TWV
= 180° - ∠VTW - ∠TVW
= 180° - 58° - 88°
= 34° (Angles sum of triangle)
Answer(s): (a) 32°; (b) 34°