PSLE MNPQ is a trapezium with MN parallel to QP. MSN and RSQ are straight lines and MR = RN. ∠RMQ = 97°.
- Find ∠MQS.
- Find ∠NRS.
(a)
∠MQS
= 180° - 97° - 23°
= 60° (Angles sum of triangle)
(b)
∠MSQ
= 75° (Alternate angles)
∠NMR
= 75° - 23°
= 52° (Exterior angle of a triangle)
∠NRS
= 180° - 52° - 52° - 23°
= 53° (Angles sum of triangle)
Answer(s): (a) 60°; (b) 53°