Question

In Fig., a = b = c, name the angle which is congruent to ∠AOC.

Answer 1

We have,
$$\begin{gathered} \text{∠AOB =∠BOC = ∠COD} \\ \text{Therefore, ∠AOB =∠COD} \\ \text{Also, ∠AOB +∠BOC=∠BOC +∠COD} \\ \text{∠AOC=∠BOD} \\ \text{Hence, ∠AOC≅∠BOD} \\ \text{∠BOD\hspace{0.17em}is congruent to ∠AOC} \end{gathered}$$