PSLE In the figure, UVX and ZYX are straight lines and YV is parallel to XW. ∠YZU is a right angle, ∠ZUV = 50°, ∠UVW = 119° and ∠XYV = 65°.
- Find ∠UVY.
- Find ∠VWX.
(a)
∠UXZ
= 180° - 90° - 50°
= 40° (Angles sum of triangle)
∠XVY
= 180° - 65° - 40°
= 75° (Angles sum of triangle)
∠UVY
= 180° - 75°
= 119° (Angles on a straight line)
(b)
∠XVW
= 360° - 119° - 75° - 119°
= 47° (Angles at a point)
∠VWX
= 180° - 47° - 47°
= 86°
Answer(s): (a) 119°; (b) 86°