PSLE PQRS is a trapezium with PQ parallel to SR. PUQ and TUS are straight lines and PT = TQ. ∠TPS = 98°.
- Find ∠PSU.
- Find ∠QTU.
(a)
∠PSU
= 180° - 98° - 22°
= 60° (Angles sum of triangle)
(b)
∠PUS
= 72° (Alternate angles)
∠QPT
= 72° - 22°
= 50° (Exterior angle of a triangle)
∠QTU
= 180° - 50° - 50° - 22°
= 58° (Angles sum of triangle)
Answer(s): (a) 60°; (b) 58°