PSLE MNPQ is a trapezium with MN parallel to QP. MSN and RSQ are straight lines and MR = RN. ∠RMQ = 94°.
- Find ∠MQS.
- Find ∠NRS.
(a)
∠MQS
= 180° - 94° - 29°
= 57° (Angles sum of triangle)
(b)
∠MSQ
= 75° (Alternate angles)
∠NMR
= 75° - 29°
= 46° (Exterior angle of a triangle)
∠NRS
= 180° - 46° - 46° - 29°
= 59° (Angles sum of triangle)
Answer(s): (a) 57°; (b) 59°