SOLUTION: If there was a parallelogram and one of the angles were 65 degrees and there were three missing angles.What would be the answer for the three missing angles?

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Question 256206: If there was a parallelogram and one of the angles were 65 degrees and there were three missing angles.What would be the answer for the three missing angles?
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


In a parallelogram, like in any other quadrilateral, the sum of the measures of the interior angles is 360 degrees. Also in a parallelogram, if you have one angle that is 65 degrees, you must also have a second angle that is 65 degrees, so the sum of those two angles is 130 degrees. The sum of the other two angles, which are of identical measure, is then 360 minus 130 equals 230 degrees. Divide 230 by 2 to get the measure of the other two angles.

John


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