PSLE PQRS is a trapezium with PQ parallel to SR. PUQ and TUS are straight lines and PT = TQ. ∠TPS = 94°.
- Find ∠PSU.
- Find ∠QTU.
(a)
∠PSU
= 180° - 94° - 21°
= 65° (Angles sum of triangle)
(b)
∠PUS
= 75° (Alternate angles)
∠QPT
= 75° - 21°
= 54° (Exterior angle of a triangle)
∠QTU
= 180° - 54° - 54° - 21°
= 51° (Angles sum of triangle)
Answer(s): (a) 65°; (b) 51°