In the figure, TUW and YXlV are straight lines. ∠TYX = 44°, ∠YTX = 49°, ∠UVW = 37° and ∠UWV = 114°. Find
- ∠TXU
- ∠XTU
(a)
∠TXY
= 180° - 49° - 44°
= 87° (Angles sum of triangle)
∠TXU
= 180° - 87°
= 93° (Angles on a straight line)
(b)
∠WUV
= 180° - 114° - 37°
= 29° (Angles sum of triangle)
∠TUX = ∠WUV = 29° (Vertically opposite angles)
∠XTU
= 180° - 93° - 29°
= 58° (Angles sum of triangle)
Answer(s): (a) 93°; (b) 58°