Question

In the figure, if AB = CD and $\angle$ABO = ${35}^{\circ }$. What is the value of $\angle$DCO in degrees?

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Answer 1

In $△$AOB and $△$ DOC,

OB = OC (Radii of the same circle)

OA = OD (Radii of the same circle)

AB = CD (Given)

$△$AOB $\cong$ $△$ DOC (By SSS congruence condition)

So, $\angle$ABO = $\angle$DCO = ${35}^{\circ }$(Corresponding parts of congruent triangles)