PSLE PQRS is a trapezium with PQ parallel to SR. PUQ and TUS are straight lines and PT = TQ. ∠TPS = 92°.
- Find ∠PSU.
- Find ∠QTU.
(a)
∠PSU
= 180° - 92° - 30°
= 58° (Angles sum of triangle)
(b)
∠PUS
= 72° (Alternate angles)
∠QPT
= 72° - 30°
= 42° (Exterior angle of a triangle)
∠QTU
= 180° - 42° - 42° - 30°
= 66° (Angles sum of triangle)
Answer(s): (a) 58°; (b) 66°