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angle MKL = angle JMK = 26º

angle KML = 180 – 26 – 75 = 79º

Ans : 79º.

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Hi Nav,

I think it is important for your child to memorise the properties of angles related to parallel lines.

With reference to the diagram above,

Corresponding angles

∠a = ∠e ;  ∠b = ∠f ;  ∠d = ∠h ;  ∠c = ∠g

 

Alternate angles

∠d = ∠e ;  ∠c = ∠ f

 

Sum of angles between parallel lines = 180º

∠c + ∠e = 180º

∠d + ∠f = 180º

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Since sum of angles between 2 parallel lines = 180º

∠JML + ∠KLM = 180º

(26º + ∠KML) + 75º = 180º

∠KML = 180º – 75º – 26º = 79º

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