PSLE UVWX is a trapezium with UV parallel to XW. UZV and YZX are straight lines and UY = YV. ∠YUX = 96°.
- Find ∠UXZ.
- Find ∠VYZ.
(a)
∠UXZ
= 180° - 96° - 21°
= 63° (Angles sum of triangle)
(b)
∠UZX
= 71° (Alternate angles)
∠VUY
= 71° - 21°
= 50° (Exterior angle of a triangle)
∠VYZ
= 180° - 50° - 50° - 21°
= 59° (Angles sum of triangle)
Answer(s): (a) 63°; (b) 59°