PSLE MNPQ is a rhombus. QSN and QRPT are straight lines.
- Find ∠MNQ.
- Find ∠QPT.
- Find ∠QSR.
(a)
∠MNQ
= (180° - 110°) ÷ 2
= 35° (Isosceles triangle)
(b)
∠NPQ
= ∠NMQ
= 110° (Rhombus)
∠QPT
= 180° - 110°
= 70° (Angles on a straight line)
(c)
∠RNS
= ∠MNS
= 35° (Rhombus)
∠NRS
= 180° - 68°
= 112° (Angles on a straight line)
∠QSR
= 35° + 112°
= 147° (Exterior angle of a triangle)
Answer(s): (a) 35° (b) 70° (c) 147°