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Question

In the figure, find x, further find BOC,COD and AOD.


Solution

In the figure, 
AOB is a straight line
AOD+DOB=180  (Linear pair)
AOD+DOC+COB=180x+10+x+x+20=1803x+30=1803x=18030=150x=1503=50x=50 
Now BOC=x+20=50+20=70COD=x=50
and AOD=x+10=50+10=60

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