In the figure, STW and VTU are right-angled triangles. WT is parallel to VU. Find
- ∠TUV
- ∠TWV
(a)
∠VTW
= 360° - 90° - 90° - 126°
= 54° (Angles at a point)
∠TVU = ∠VTW = 54° (Alternate angles)
∠TUV
= 180° - ∠VTU - ∠TVU
= 180° - 90° - 54°
= 36° (Angles sum of triangle)
(b)
∠TWV
= 180° - ∠VTW - ∠TVW
= 180° - 54° - 80°
= 46° (Angles sum of triangle)
Answer(s): (a) 36°; (b) 46°