PSLE MNPQ is a trapezium with MN parallel to QP. MSN and RSQ are straight lines and MR = RN. ∠RMQ = 96°.
- Find ∠MQS.
- Find ∠NRS.
(a)
∠MQS
= 180° - 96° - 22°
= 62° (Angles sum of triangle)
(b)
∠MSQ
= 71° (Alternate angles)
∠NMR
= 71° - 22°
= 49° (Exterior angle of a triangle)
∠NRS
= 180° - 49° - 49° - 22°
= 60° (Angles sum of triangle)
Answer(s): (a) 62°; (b) 60°