Question

the measure of two adjacent angles of a parallelogram are in ratio 3:7 . find the angles of the parallelogram?
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Answer 1

Let the angles are 3x and 7x respectively.

As we know that the sun of two adjacent angles of a parallelogram is 180°,

So we can write the equation-

3x+7x = 180

or, 10x = 180

or, x = 180/10

or, x = 18

So 3x° = (3×18)° = 54°

and 7x° = (7×18)° = 126°

As we know that the opposite angles of a parallelogram are equal,

Hence, the angles of the parallelogram are 54°, 126°, 54° and 126°.

Answer 2

Given :  the measure of two adjacent angles of a parallelogram are in ratio 3:7 .

To find:   the angles of the parallelogram  

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Solution:

the measure of two adjacent angles of a parallelogram are in ratio 3:7

Let say angles are 3x  and 7x

Adjacent angles of a parallelogram are supplementary

Hence sum of measure of adjacent angles is 180°

3x + 7x = 180°

=> 10x = 180°

=> x= 18°

3x = 3(18) = 54°

7x= 7(18) = 126°

angles of the parallelogram are 54° and 126°

opposite angles of parallelogram are equal

Hence remaining two angles are also   54° and 126°

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