In the diagram of circle o, chords ac and bd are perpendicular to each other. if m∠cod = 95° what is m∠aob?

If m<COD = 95 degrees, that makes m<AOB a vertical angle to m<COD. That means that you subtract 180 - 95 and you get 85 degrees.

m<AOB = 85 degrees.

My problem with the wording of this problem is that it states that chords AC and BD are perpendicular. That would make both m<COD and m<AOB equal to 90 degrees. But I answered the problem based on your statement that m<COD = 95.