The figure below shows a right triangle ABC (angle B = 90 degree) 
	  with the incircle I tangent to BC at D. The excircle E corresponding to BC is 
	  tangent to AB and AC extended at F and G, respectively. Prove that the 
	  measure of the angle DBG is 45 degree.
 
 


See also: Typography and poster of problem 1408.
Geometry Problems
		
		Ten problems: 1401-1410
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						Triangle
 
              
		                
			Circle
			
			Incircle
 
			
			Excircle
              
		                
									
	  Tangent Line
         
			        
				
				Perpendicular lines
 
			        
			
	  45 degrees
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