PSLE JKLM is a rhombus. MPK and MNLQ are straight lines.
- Find ∠JKM.
- Find ∠MLQ.
- Find ∠MPN.
(a)
∠JKM
= (180° - 102°) ÷ 2
= 39° (Isosceles triangle)
(b)
∠KLM
= ∠KJM
= 102° (Rhombus)
∠MLQ
= 180° - 102°
= 78° (Angles on a straight line)
(c)
∠NKP
= ∠JKP
= 39° (Rhombus)
∠KNP
= 180° - 64°
= 116° (Angles on a straight line)
∠MPN
= 39° + 116°
= 155° (Exterior angle of a triangle)
Answer(s): (a) 39° (b) 78° (c) 155°