PSLE In the figure, TUW and YXW are straight lines and XU is parallel to WV. ∠XYT is a right angle, ∠YTU = 54°, ∠TUV = 124° and ∠WXU = 65°.
- Find ∠TUX.
- Find ∠UVW.
(a)
∠TWY
= 180° - 90° - 54°
= 36° (Angles sum of triangle)
∠WUX
= 180° - 65° - 36°
= 79° (Angles sum of triangle)
∠TUX
= 180° - 79°
= 124° (Angles on a straight line)
(b)
∠WUV
= 360° - 124° - 79° - 124°
= 33° (Angles at a point)
∠UVW
= 180° - 33° - 33°
= 114°
Answer(s): (a) 124°; (b) 114°