PSLE UVWX is a trapezium with UV parallel to XW. UZV and YZX are straight lines and UY = YV. ∠YUX = 97°.
- Find ∠UXZ.
- Find ∠VYZ.
(a)
∠UXZ
= 180° - 97° - 23°
= 60° (Angles sum of triangle)
(b)
∠UZX
= 72° (Alternate angles)
∠VUY
= 72° - 23°
= 49° (Exterior angle of a triangle)
∠VYZ
= 180° - 49° - 49° - 23°
= 59° (Angles sum of triangle)
Answer(s): (a) 60°; (b) 59°