Mathematics

State whether following statement is true or false.
$$ \angle AOC=\angle DOB$$. 


ANSWER

True


SOLUTION
Taking line $$COD,$$
$$\Rightarrow$$  $$\angle AOC+\angle AOD=180^o$$               [ Pair of straight line ]     ---- ( 1 )
Taking line $$AOB,$$
$$\Rightarrow$$  $$\angle AOD+\angle DOB=180^o$$                [ Pair of straight line ]           ----- ( 2 )
From ( 1 ) and ( 2 )
$$\Rightarrow$$  $$\angle AOC+\angle AOD=\angle AOD+\angle DOB$$
$$\therefore$$   $$\angle AOC=\angle DOB$$
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TRUE/FALSE Medium Published on 09th 09, 2020
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