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In the figure shown, ABCD is a square and CDE is equilateral. What is the degree measure of CBE?

 

 Jun 7, 2022
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Note that DC  = CE

And DC =  BC

So  BC  = CE

 

Angle  BCE =  angle BCD - angle  ECD =    90  -  60     =  30°

 

And triangle  CEB is isoceles  with  BC = CE

 

So angle CBE  = [180 - 30] / 2  =  150/2  =   75°

 

 

cool cool cool

 Jun 7, 2022

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