In the figure, TUW and YXlV are straight lines. ∠TYX = 48°, ∠YTX = 46°, ∠UVW = 28° and ∠UWV = 111°. Find
- ∠TXU
- ∠XTU
(a)
∠TXY
= 180° - 46° - 48°
= 86° (Angles sum of triangle)
∠TXU
= 180° - 86°
= 94° (Angles on a straight line)
(b)
∠WUV
= 180° - 111° - 28°
= 41° (Angles sum of triangle)
∠TUX = ∠WUV = 41° (Vertically opposite angles)
∠XTU
= 180° - 94° - 41°
= 45° (Angles sum of triangle)
Answer(s): (a) 94°; (b) 45°
