In the figure, TUW and YXlV are straight lines. ∠TYX = 46°, ∠YTX = 47°, ∠UVW = 32° and ∠UWV = 112°. Find
- ∠TXU
- ∠XTU
(a)
∠TXY
= 180° - 47° - 46°
= 87° (Angles sum of triangle)
∠TXU
= 180° - 87°
= 93° (Angles on a straight line)
(b)
∠WUV
= 180° - 112° - 32°
= 36° (Angles sum of triangle)
∠TUX = ∠WUV = 36° (Vertically opposite angles)
∠XTU
= 180° - 93° - 36°
= 51° (Angles sum of triangle)
Answer(s): (a) 93°; (b) 51°