Mathematics

In the given figure OA, OB are opposite rays and $$\angle AOC+\angle BOD =90^{\circ}$$, then $$\angle COD$$ is


ANSWER

$$90^{\circ}$$


SOLUTION
In the given figure, $$\angle AOC + \angle BOD + \angle COD = 180^{\circ}$$
Given, $$\angle AOC + \angle BOD  = 90^{\circ}$$
Thus, $$\angle COD = 180 -90 = 90^{\circ}$$
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