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° - 29°
= 52° (Angles sum of triangle)
(b)
∠UZX
= 73° (Alternate angles)
∠VUY
= 73° - 29°
= 44° (Exterior angle of a triangle)
∠VYZ
= 180° - 44° - 44° - 29°
= 63° (Angles sum of triangle)
Answer(s): (a) 52°; (b) 63°