In a parallelogram, the acute angle is 75 degrees. Find the obtuse angle of the parallelogram.

Find the opposite corner of the parallelogram. It will be equal to 75 degrees, since the opposite angles of the parallelogram are equal to each other
We found two corners out of four. We can find the sum of the last two by subtracting the sum of the first two angles from 360 (the sum of all the angles of the parallelogram) degrees:
360 – 75 * 2 = 210 degrees – the sum of the obtuse angles of the parallelogram
Opposite angles of a parallelogram are equal to each other, so one obtuse angle is 210/2 = 105 degrees
Answer: 105 degrees



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