Mathematics

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

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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