PSLE MNPQ is a rhombus. QSN and QRPT are straight lines.
- Find ∠MNQ.
- Find ∠QPT.
- Find ∠QSR.
(a)
∠MNQ
= (180° - 102°) ÷ 2
= 39° (Isosceles triangle)
(b)
∠NPQ
= ∠NMQ
= 102° (Rhombus)
∠QPT
= 180° - 102°
= 78° (Angles on a straight line)
(c)
∠RNS
= ∠MNS
= 39° (Rhombus)
∠NRS
= 180° - 66°
= 114° (Angles on a straight line)
∠QSR
= 39° + 114°
= 153° (Exterior angle of a triangle)
Answer(s): (a) 39° (b) 78° (c) 153°