PSLE In the figure, TUW and YXW are straight lines and XU is parallel to WV. ∠XYT is a right angle, ∠YTU = 50°, ∠TUV = 113° and ∠WXU = 69°.
- Find ∠TUX.
- Find ∠UVW.
(a)
∠TWY
= 180° - 90° - 50°
= 40° (Angles sum of triangle)
∠WUX
= 180° - 69° - 40°
= 71° (Angles sum of triangle)
∠TUX
= 180° - 71°
= 113° (Angles on a straight line)
(b)
∠WUV
= 360° - 113° - 71° - 113°
= 63° (Angles at a point)
∠UVW
= 180° - 63° - 63°
= 54°
Answer(s): (a) 113°; (b) 54°