PSLE JKLM is a rhombus. MPK and MNLQ are straight lines.
- Find ∠JKM.
- Find ∠MLQ.
- Find ∠MPN.
(a)
∠JKM
= (180° - 104°) ÷ 2
= 38° (Isosceles triangle)
(b)
∠KLM
= ∠KJM
= 104° (Rhombus)
∠MLQ
= 180° - 104°
= 76° (Angles on a straight line)
(c)
∠NKP
= ∠JKP
= 38° (Rhombus)
∠KNP
= 180° - 71°
= 109° (Angles on a straight line)
∠MPN
= 38° + 109°
= 147° (Exterior angle of a triangle)
Answer(s): (a) 38° (b) 76° (c) 147°