PSLE PQRS is a trapezium with PQ parallel to SR. PUQ and TUS are straight lines and PT = TQ. ∠TPS = 91°.
- Find ∠PSU.
- Find ∠QTU.
(a)
∠PSU
= 180° - 91° - 23°
= 66° (Angles sum of triangle)
(b)
∠PUS
= 66° (Alternate angles)
∠QPT
= 66° - 23°
= 43° (Exterior angle of a triangle)
∠QTU
= 180° - 43° - 43° - 23°
= 71° (Angles sum of triangle)
Answer(s): (a) 66°; (b) 71°