PSLE UVWX is a trapezium with UV parallel to XW. UZV and YZX are straight lines and UY = YV. ∠YUX = 99°.
- Find ∠UXZ.
- Find ∠VYZ.
(a)
∠UXZ
= 180° - 99° - 23°
= 58° (Angles sum of triangle)
(b)
∠UZX
= 66° (Alternate angles)
∠VUY
= 66° - 23°
= 43° (Exterior angle of a triangle)
∠VYZ
= 180° - 43° - 43° - 23°
= 71° (Angles sum of triangle)
Answer(s): (a) 58°; (b) 71°