PSLE In the figure, TUW and YXW are straight lines and XU is parallel to WV. ∠XYT is a right angle, ∠YTU = 54°, ∠TUV = 119° and ∠WXU = 64°.
- Find ∠TUX.
- Find ∠UVW.
(a)
∠TWY
= 180° - 90° - 54°
= 36° (Angles sum of triangle)
∠WUX
= 180° - 64° - 36°
= 80° (Angles sum of triangle)
∠TUX
= 180° - 80°
= 119° (Angles on a straight line)
(b)
∠WUV
= 360° - 119° - 80° - 119°
= 42° (Angles at a point)
∠UVW
= 180° - 42° - 42°
= 96°
Answer(s): (a) 119°; (b) 96°