PSLE In the figure, UVX and ZYX are straight lines and YV is parallel to XW. ∠YZU is a right angle, ∠ZUV = 52°, ∠UVW = 112° and ∠XYV = 71°.
- Find ∠UVY.
- Find ∠VWX.
(a)
∠UXZ
= 180° - 90° - 52°
= 38° (Angles sum of triangle)
∠XVY
= 180° - 71° - 38°
= 71° (Angles sum of triangle)
∠UVY
= 180° - 71°
= 112° (Angles on a straight line)
(b)
∠XVW
= 360° - 112° - 71° - 112°
= 65° (Angles at a point)
∠VWX
= 180° - 65° - 65°
= 50°
Answer(s): (a) 112°; (b) 50°