PSLE In the figure, TUW and YXW are straight lines and XU is parallel to WV. ∠XYT is a right angle, ∠YTU = 48°, ∠TUV = 114° and ∠WXU = 67°.
- Find ∠TUX.
- Find ∠UVW.
(a)
∠TWY
= 180° - 90° - 48°
= 42° (Angles sum of triangle)
∠WUX
= 180° - 67° - 42°
= 71° (Angles sum of triangle)
∠TUX
= 180° - 71°
= 114° (Angles on a straight line)
(b)
∠WUV
= 360° - 114° - 71° - 114°
= 61° (Angles at a point)
∠UVW
= 180° - 61° - 61°
= 58°
Answer(s): (a) 114°; (b) 58°