Problem 372: Circles, Common Internal and External Tangent, Angles

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The figure shows circles A and B with the common external tangent CD and the common internal tangent FG. E is the point of intersection of GF and CD. H and M are the points of intersection of CF and the circle B. If angles x and alpha, prove that Equation to prove. Post a comment.
 

Circles, Common tangent, angles
 

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