PSLE In the figure, UVX and ZYX are straight lines and YV is parallel to XW. ∠YZU is a right angle, ∠ZUV = 54°, ∠UVW = 113° and ∠XYV = 71°.
- Find ∠UVY.
- Find ∠VWX.
(a)
∠UXZ
= 180° - 90° - 54°
= 36° (Angles sum of triangle)
∠XVY
= 180° - 71° - 36°
= 73° (Angles sum of triangle)
∠UVY
= 180° - 73°
= 113° (Angles on a straight line)
(b)
∠XVW
= 360° - 113° - 73° - 113°
= 61° (Angles at a point)
∠VWX
= 180° - 61° - 61°
= 58°
Answer(s): (a) 113°; (b) 58°