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Consider triangle ADE.

Let Angle CAE = x. 

Then angle ADE = 180 – 2x (isosceles triangle).

Consider triangle ODC. 

180 – 2x = 54 + x (exterior angle is the sum of the opposite interior angles)  

x = 42 degrees 

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Thank you very much! I will explain to my DD.

 

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This question has been posted and answered before. Please check through the earlier posts for the same question. 

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I tried but couldn’t find the link. Sorry about it.

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