PSLE In the figure, UVX and ZYX are straight lines and YV is parallel to XW. ∠YZU is a right angle, ∠ZUV = 53°, ∠UVW = 116° and ∠XYV = 71°.
- Find ∠UVY.
- Find ∠VWX.
(a)
∠UXZ
= 180° - 90° - 53°
= 37° (Angles sum of triangle)
∠XVY
= 180° - 71° - 37°
= 72° (Angles sum of triangle)
∠UVY
= 180° - 72°
= 116° (Angles on a straight line)
(b)
∠XVW
= 360° - 116° - 72° - 116°
= 56° (Angles at a point)
∠VWX
= 180° - 56° - 56°
= 68°
Answer(s): (a) 116°; (b) 68°