One angle of a parallelogram is of measure 70°. Find the measures of the remaining angles of the parallelogram.
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Answer. The sum of the angles of a parallelogram is 360 degrees. At least two angles will be the same unless one angle is of measure 90 degrees (in which case all four are 90). Hence, the remaining angles are 70 degrees and 2 110 degree angles.
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one angle is 70°
opposite angles of a parallelogram are equal therefore another angle is 70°
sum of adjacent angles in a parallelogram is 180°
70° + x = 180°
x = 110°
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