Question

Please solve this question. I will be exiting due to some reasons. But I will check the answer after 2 hours. But please answer.Thank you

Answer 1

We will use congruency to solve this question

In the 2 triangles ABE and CBD

$\begin{gathered} AB=BC \\ BE=BD \\ \angle B=\angle B \end{gathered}$

Then two triangles are congruent by the SSS postulate of congruency

From the result of congruency

$\angle A=\angle C$

From given

$\begin{gathered} AB=BC \\ DB=EB \\ AB=BD+DA \\ BC=BE+EC \\ BD+DA=BE+EC \\ DA=EC \end{gathered}$

In the 2 triangles OCE and OAD

$\begin{gathered} \angle C=\angle A\rightarrow\text{proved} \\ EC=DA \\ \angle COE=AOD\rightarrow V.O.A \end{gathered}$

Then the 2 triangles are congruent by the AAS postulate

Then as the result of congruency

$\begin{gathered} OC=OA \\ OE=OD \end{gathered}$