Find the measure of the alternate angle of the angle of measure 65 degree
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We know that opposite angles in parallelogram are equal. So two angles are 65 & 65. The sum of angles should be 360 degrees. 65 + 65 = 130. 360 - 130 = 230 degrees. sum of other two angles is 230 degrees. These angles are equal.
So 2 x one angle (x) = 230
x =230/2
x = 115 degrees
So the angles are 65 degrees, 115 degrees, 65 degrees, 115 degrees
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