PSLE In the figure, TUW and YXW are straight lines and XU is parallel to WV. ∠XYT is a right angle, ∠YTU = 55°, ∠TUV = 122° and ∠WXU = 72°.
- Find ∠TUX.
- Find ∠UVW.
(a)
∠TWY
= 180° - 90° - 55°
= 35° (Angles sum of triangle)
∠WUX
= 180° - 72° - 35°
= 73° (Angles sum of triangle)
∠TUX
= 180° - 73°
= 122° (Angles on a straight line)
(b)
∠WUV
= 360° - 122° - 73° - 122°
= 43° (Angles at a point)
∠UVW
= 180° - 43° - 43°
= 94°
Answer(s): (a) 122°; (b) 94°