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In figure OA=OD and angle 1 and angle 2 are equal.Prove that triangle OCB is an isosceles triangle.

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OA = OD, angle 1 = angle 2

Angle COA = angle BOD

two angles and one side are equal between the two triangles AOC and DOB.

Triangles AOC and DOB are similar.

So, CO = BO

So OCB is an isosceles triangle.

OA = OD, angle 1 = angle 2

Angle COA = angle BOD

two angles and one side are equal between the two triangles AOC and DOB.

Triangles AOC and DOB are similar.

So, CO = BO

So OCB is an isosceles triangle.