Correction in the question : The question should be "The two adjacent angles of a parallelogram are in ratio 7:2.find all the angles of the parallelogram".
SOLUTION :
Given,
Two angles of parallelogram are in ratio = 7:2
Sum of two adjacent angles in a parallelogram is 180°
Let the ratio of the angle be x
According to the problem,
7x + 2x = 180°
9x = 180°
x = 180/9
x = 20
Substitute x
One angle = 7x = 7(20) = 140°
Another angle = 2x = 2(20) = 40°
In a parallelogram the opposite angles are equal.
Therefore, the angles of parallelogram are 140°, 140°, 40° and 40°.
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Verified answer
Correction in the question : The question should be "The two adjacent angles of a parallelogram are in ratio 7:2.find all the angles of the parallelogram".
SOLUTION :
Given,
Two angles of parallelogram are in ratio = 7:2
Sum of two adjacent angles in a parallelogram is 180°
Let the ratio of the angle be x
According to the problem,
7x + 2x = 180°
9x = 180°
x = 180/9
x = 20
Substitute x
One angle = 7x = 7(20) = 140°
Another angle = 2x = 2(20) = 40°
In a parallelogram the opposite angles are equal.
Therefore, the angles of parallelogram are 140°, 140°, 40° and 40°.