Question

If the ratio of measure of two adjacent angles of a parallelogram is 1:2 find the measure of all angles of the parallelogram

Answer 1

Answer:

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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