Question

In the figure, if AB = DC and ∠ABO = ${35}^o$. What is the value of ∠DCO?

• A. ${25}^o$
• B. ${35}^o$
• C. ${50}^o$
• D. ${70}^o$

Answer 1

The correct option is B ${35}^o$

From the figure,
OB = OC (Radii of same circle)
OA = OD (Radii of same circle)

AB = CD (Given)
$\Delta$AOB $\cong$ $\Delta$DOC (By SSS congruence condition)
Hence, ∠ABO = ∠DCO = ${35}^o$ (Correspondng parts of congruent triangles are congruent).