PSLE PQRS is a trapezium with PQ parallel to SR. PUQ and TUS are straight lines and PT = TQ. ∠TPS = 93°.
- Find ∠PSU.
- Find ∠QTU.
(a)
∠PSU
= 180° - 93° - 30°
= 57° (Angles sum of triangle)
(b)
∠PUS
= 71° (Alternate angles)
∠QPT
= 71° - 30°
= 41° (Exterior angle of a triangle)
∠QTU
= 180° - 41° - 41° - 30°
= 68° (Angles sum of triangle)
Answer(s): (a) 57°; (b) 68°