Question

In the given figure, $AB=AC$ and $OB=OC$, Then $\angle ABO=\angle ACO$

• A. True
• B. False

Answer 1

The correct option is A True

In $\Delta ABC$

$AB=AC$ (given)

$\Rightarrow \angle ABC=\angle ACB$ (since angles opposite to equal sides are equal) ---$\left(i\right)$

In $\Delta OBC$

$OB=OC$ (given)

$\Rightarrow \angle OBC=\angle OCB$ (as angles opposite to equal sides are equal) ---$\left(ii\right)$

subtracting $\left(ii\right)$from $\left(i\right)$

$\angle ABC-\angle OBC=\angle ACB-\angle OCB$

$\Rightarrow \angle ABO=\angle ACO$

Thus, it is true