PSLE MNPQ is a trapezium with MN parallel to QP. MSN and RSQ are straight lines and MR = RN. ∠RMQ = 91°.
- Find ∠MQS.
- Find ∠NRS.
(a)
∠MQS
= 180° - 91° - 23°
= 66° (Angles sum of triangle)
(b)
∠MSQ
= 65° (Alternate angles)
∠NMR
= 65° - 23°
= 42° (Exterior angle of a triangle)
∠NRS
= 180° - 42° - 42° - 23°
= 73° (Angles sum of triangle)
Answer(s): (a) 66°; (b) 73°