PSLE MNPQ is a rhombus. QSN and QRPT are straight lines.
- Find ∠MNQ.
- Find ∠QPT.
- Find ∠QSR.
(a)
∠MNQ
= (180° - 104°) ÷ 2
= 38° (Isosceles triangle)
(b)
∠NPQ
= ∠NMQ
= 104° (Rhombus)
∠QPT
= 180° - 104°
= 76° (Angles on a straight line)
(c)
∠RNS
= ∠MNS
= 38° (Rhombus)
∠NRS
= 180° - 64°
= 116° (Angles on a straight line)
∠QSR
= 38° + 116°
= 154° (Exterior angle of a triangle)
Answer(s): (a) 38° (b) 76° (c) 154°