In the figure, TUW and YXlV are straight lines. ∠TYX = 47°, ∠YTX = 43°, ∠UVW = 38° and ∠UWV = 116°. Find
- ∠TXU
- ∠XTU
(a)
∠TXY
= 180° - 43° - 47°
= 90° (Angles sum of triangle)
∠TXU
= 180° - 90°
= 90° (Angles on a straight line)
(b)
∠WUV
= 180° - 116° - 38°
= 26° (Angles sum of triangle)
∠TUX = ∠WUV = 26° (Vertically opposite angles)
∠XTU
= 180° - 90° - 26°
= 64° (Angles sum of triangle)
Answer(s): (a) 90°; (b) 64°
