In the figure, TUW and YXlV are straight lines. ∠TYX = 44°, ∠YTX = 50°, ∠UVW = 31° and ∠UWV = 107°. Find
- ∠TXU
- ∠XTU
(a)
∠TXY
= 180° - 50° - 44°
= 86° (Angles sum of triangle)
∠TXU
= 180° - 86°
= 94° (Angles on a straight line)
(b)
∠WUV
= 180° - 107° - 31°
= 42° (Angles sum of triangle)
∠TUX = ∠WUV = 42° (Vertically opposite angles)
∠XTU
= 180° - 94° - 42°
= 44° (Angles sum of triangle)
Answer(s): (a) 94°; (b) 44°
