PSLE In the figure, UVX and ZYX are straight lines and YV is parallel to XW. ∠YZU is a right angle, ∠ZUV = 51°, ∠UVW = 118° and ∠XYV = 66°.
- Find ∠UVY.
- Find ∠VWX.
(a)
∠UXZ
= 180° - 90° - 51°
= 39° (Angles sum of triangle)
∠XVY
= 180° - 66° - 39°
= 75° (Angles sum of triangle)
∠UVY
= 180° - 75°
= 118° (Angles on a straight line)
(b)
∠XVW
= 360° - 118° - 75° - 118°
= 49° (Angles at a point)
∠VWX
= 180° - 49° - 49°
= 82°
Answer(s): (a) 118°; (b) 82°