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° - 25°
= 64° (Angles sum of triangle)
(b)
∠PUS
= 70° (Alternate angles)
∠QPT
= 70° - 25°
= 45° (Exterior angle of a triangle)
∠QTU
= 180° - 45° - 45° - 25°
= 65° (Angles sum of triangle)
Answer(s): (a) 64°; (b) 65°