In the figure, TUW and YXlV are straight lines. ∠TYX = 48°, ∠YTX = 41°, ∠UVW = 34° and ∠UWV = 105°. Find
- ∠TXU
- ∠XTU
(a)
∠TXY
= 180° - 41° - 48°
= 91° (Angles sum of triangle)
∠TXU
= 180° - 91°
= 89° (Angles on a straight line)
(b)
∠WUV
= 180° - 105° - 34°
= 41° (Angles sum of triangle)
∠TUX = ∠WUV = 41° (Vertically opposite angles)
∠XTU
= 180° - 89° - 41°
= 50° (Angles sum of triangle)
Answer(s): (a) 89°; (b) 50°
