In the figure, TUW and YXlV are straight lines. ∠TYX = 42°, ∠YTX = 48°, ∠UVW = 37° and ∠UWV = 116°. Find
- ∠TXU
- ∠XTU
(a)
∠TXY
= 180° - 48° - 42°
= 90° (Angles sum of triangle)
∠TXU
= 180° - 90°
= 90° (Angles on a straight line)
(b)
∠WUV
= 180° - 116° - 37°
= 27° (Angles sum of triangle)
∠TUX = ∠WUV = 27° (Vertically opposite angles)
∠XTU
= 180° - 90° - 27°
= 63° (Angles sum of triangle)
Answer(s): (a) 90°; (b) 63°
