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CBSE Class 9 Answered

My question is in the document
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Asked by Ayushgargsbl | 06 Mar, 2019, 11:45: AM
answered-by-expert Expert Answer

Let x, y and z are the angles of triangle as shown in figure.  begin mathsize 12px style angle end styleEBC = x+z  and begin mathsize 12px style angle end styleOBC = (x+z)/2 because BO is bisector of begin mathsize 12px style angle end styleEBC
Similarly begin mathsize 12px style angle end styleOCB = (x+y)/2
hence begin mathsize 12px style angle end styleBOC = 180-begin mathsize 12px style angle end styleOBC-begin mathsize 12px style angle end styleOCB = 180 - [ (x+z/2 ] - [(x+y)/2] = 180 -(x/2) -(x+y+z)/2 = 90-(x/2)  = 90 - (1/2)begin mathsize 12px style angle end styleBAC
Answered by Thiyagarajan K | 06 Mar, 2019, 12:49: PM

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