Angle EOD = 40 degrees; angle EOB = 130 degrees. Find the degree measure of the angle AOC.

The ВOD angle is equal to the difference between the EOB and EOD angles.
ВOD angle = 130 – 40 = 90.
The AOC angle is equal to the ВOD angle as the vertical angles at the intersection of straight lines AB and СD
Then the angle AOС = ВOD = 90.
Answer: The degree measure of the AOC angle is 90.



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