PSLE MNPQ is a rhombus. QSN and QRPT are straight lines.
- Find ∠MNQ.
- Find ∠QPT.
- Find ∠QSR.
(a)
∠MNQ
= (180° - 100°) ÷ 2
= 40° (Isosceles triangle)
(b)
∠NPQ
= ∠NMQ
= 100° (Rhombus)
∠QPT
= 180° - 100°
= 80° (Angles on a straight line)
(c)
∠RNS
= ∠MNS
= 40° (Rhombus)
∠NRS
= 180° - 66°
= 114° (Angles on a straight line)
∠QSR
= 40° + 114°
= 154° (Exterior angle of a triangle)
Answer(s): (a) 40° (b) 80° (c) 154°