In the figure, TUW and YXlV are straight lines. ∠TYX = 40°, ∠YTX = 45°, ∠UVW = 34° and ∠UWV = 119°. Find
- ∠TXU
- ∠XTU
(a)
∠TXY
= 180° - 45° - 40°
= 95° (Angles sum of triangle)
∠TXU
= 180° - 95°
= 85° (Angles on a straight line)
(b)
∠WUV
= 180° - 119° - 34°
= 27° (Angles sum of triangle)
∠TUX = ∠WUV = 27° (Vertically opposite angles)
∠XTU
= 180° - 85° - 27°
= 68° (Angles sum of triangle)
Answer(s): (a) 85°; (b) 68°
