The measure of angle A is 50 degrees.
What is an Arc?
An arc is simply a part of the circumference of a circle or other curve.
Finding the angle:
As we have an angle of D 65 degrees.
Then by the properties of the interior and the exterior arc, the angle O is 65 X 2 = 130 degrees.
Then using the statement, the sum of opposite angles of any quadrilateral is 180 degrees.
So, A= 180 - 130= 50 degrees.
Learn more about Arc:
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