Segments AC and BD intersect at point O, AO = OC and angle A = angle C. prove the equality of triangles AOB and COD.

In triangles AOB and COD, by condition, AO = OC, angle OAB = OCD.

Angle AOB = COD as vertical angles at the intersection of segments AC and BD.

Then triangles AOB and COD are equal in side and two adjacent angles, the second criterion for the equality of triangles, which was required to prove.



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