PSLE In the figure, TUW and YXW are straight lines and XU is parallel to WV. ∠XYT is a right angle, ∠YTU = 55°, ∠TUV = 115° and ∠WXU = 70°.
- Find ∠TUX.
- Find ∠UVW.
(a)
∠TWY
= 180° - 90° - 55°
= 35° (Angles sum of triangle)
∠WUX
= 180° - 70° - 35°
= 75° (Angles sum of triangle)
∠TUX
= 180° - 75°
= 115° (Angles on a straight line)
(b)
∠WUV
= 360° - 115° - 75° - 115°
= 55° (Angles at a point)
∠UVW
= 180° - 55° - 55°
= 70°
Answer(s): (a) 115°; (b) 70°