PSLE In the figure, UVX and ZYX are straight lines and YV is parallel to XW. ∠YZU is a right angle, ∠ZUV = 53°, ∠UVW = 110° and ∠XYV = 66°.
- Find ∠UVY.
- Find ∠VWX.
(a)
∠UXZ
= 180° - 90° - 53°
= 37° (Angles sum of triangle)
∠XVY
= 180° - 66° - 37°
= 77° (Angles sum of triangle)
∠UVY
= 180° - 77°
= 110° (Angles on a straight line)
(b)
∠XVW
= 360° - 110° - 77° - 110°
= 63° (Angles at a point)
∠VWX
= 180° - 63° - 63°
= 54°
Answer(s): (a) 110°; (b) 54°