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SMOPS 2015 No.30 Geometry Addition Reflection Trick

Question (in Image below)

 

(SMOPS 2015 No.30 )

In the following figure, not drawn to scale, B, D, E and C lie on a straight line. Given that angle (BAD) = angle (DAE) = 12 degrees, AC is perpendicular to AD, and BC = AB + AE, find angle (ABC) in degrees.

 

 

 

 

 

 

Solution (Please refer to Image below):

 

 

 

 

 

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