the measurement of to adjacent angle of a parallelogram are in the radius 4:5, find the measure of each angle of parallelogram.
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In a parallelogram opposite angles are equal and sum of all angles is 360.
Given ration if adjacent angles - 4:5
therefore adjacent angles are - 4x, 5x
so,
4x + 4x + 5x + 5x = 360
= 18 x = 360
= x = 360 / 18
= x = 20
therefore, 4x = 4 x 20 = 80
5x = 5 x 20 = 100
so measure of each angle - 80, 100, 80, 100
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