If the ratio of measure of two adjacent angles of a parallelogram is 1:2 find the measure of all angles of the parallelogram
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In a parallelogram, adjacent angles are supplementary and opposite angles are equal
so
1x + 2x = 180°
3x = 180°
x = 180°/3 = 60°
1x = 60°
2x = 2 x 60° = 120°
as the opposite angles of the parallelogram are equal
the measures of all the angles are : 60°, 120° , 60°, 120°
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