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In acute triangle ABC, angle A = 62 degrees . Let O be the circumcenter of triangle ABC. Find angle OBC , in degrees.

 

 Dec 6, 2020
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Connect OC

 

Then  angle BAC   =  62°......but angle BOC  is a  central angle  intercepting the  same arc as BAC.....therefore, its measure is 2*BAC =  124°

 

So  in triangle  BOC.....angle  BOC  = 124° and  OB  and OC  are equal radii

Therefore  angle OBC  = angle OCB  =   (180 -124)  /  2  =   56 / 2  =    28° 

 

 

cool cool cool

 Dec 6, 2020

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