PSLE JKLM is a rhombus. MPK and MNLQ are straight lines.
- Find ∠JKM.
- Find ∠MLQ.
- Find ∠MPN.
(a)
∠JKM
= (180° - 106°) ÷ 2
= 37° (Isosceles triangle)
(b)
∠KLM
= ∠KJM
= 106° (Rhombus)
∠MLQ
= 180° - 106°
= 74° (Angles on a straight line)
(c)
∠NKP
= ∠JKP
= 37° (Rhombus)
∠KNP
= 180° - 64°
= 116° (Angles on a straight line)
∠MPN
= 37° + 116°
= 153° (Exterior angle of a triangle)
Answer(s): (a) 37° (b) 74° (c) 153°