PSLE JKLM is a rhombus. MPK and MNLQ are straight lines.
- Find ∠JKM.
- Find ∠MLQ.
- Find ∠MPN.
(a)
∠JKM
= (180° - 108°) ÷ 2
= 36° (Isosceles triangle)
(b)
∠KLM
= ∠KJM
= 108° (Rhombus)
∠MLQ
= 180° - 108°
= 72° (Angles on a straight line)
(c)
∠NKP
= ∠JKP
= 36° (Rhombus)
∠KNP
= 180° - 63°
= 117° (Angles on a straight line)
∠MPN
= 36° + 117°
= 153° (Exterior angle of a triangle)
Answer(s): (a) 36° (b) 72° (c) 153°