Question

State whether following statement is true or false.

$\angle AOC=\angle DOB$.

• A. True
• B. False

Answer 1

The correct option is A True

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 )

$\Rightarrow$ $\angle AOC+\angle AOD=\angle AOD+\angle DOB$

$\therefore$ $\angle AOC=\angle DOB$