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Answer: The measure of non-reflex ∠DOB is 108° and the measure of reflex ∠DOB is 252°.
Explanation:
It is given that the reflex angle ∠DOB has measure of 3.5y while the measure of ∠AOD is y.
From the given figure we can say that angle AOC and COB are supplementary angles and their sum is 180 because they are lies on a straight line.
Therefore the value of y is 72.
Therefore the reflex and is 252 degree.
The measure of non-reflex ∠DOB is,
Therefore, the measure of non-reflex ∠DOB is 108° and the measure of reflex ∠DOB is 252°.