From the vertex of the right angle AOB shown in the figure, the rays OD and OC are drawn so that the angle

From the vertex of the right angle AOB shown in the figure, the rays OD and OC are drawn so that the angle AOC = 53 degrees, the angle DOB = 69 degrees. Calculate the degree measure of the angle DOC.

The sum of the known angles AOC and DOB is greater than the right angle by the value of the angle DOC.

Angle DОС = AOC + DОВ – AOB = 53 + 69 – 90 = 32.

Answer: The angle DOC is 32.



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