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Question) In the given figure, angle AOB=65 degrees, angle BOC= 115 degrees and, angle COD=100 degrees. Calculate:
i) Angle AOD,
ii) Is Angle AOC a straight line, why?
iii) Is BOC a straight line, why?
iv) Are angle COD and DOA are supplementary angles?
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Step-by-step explanation:
I)angle AOD.
=100+AOD=180(linear pair)
=AOD=180-100
=AOD=80
ii) yes...AOC is a straight line...
as,the sum of angle AOB and BOC is supplementry (180)...
AOB+BOC=180
65+115=180
THEREFORE...IT IS A STARIGHT LINE...
iii) No BOC is not a straight line...as they r not equal to 180..
iv) yes they are supplementry...as they sum up to 180.. and AOC is a straight line
hope it's helpful...
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