Question

The two adjacent of a parallelogram are in a ratio 3 : 7 find all the angle of a parallelogram

Answer 1

two adjacent angles of a parallelogram are in the ratio 3 ratio 7 light is ratio b x so equation formed is equals to 3 X + 7 x is equals to 180 because adjacent angle sum is equal to 180 degree always so 10 x is equal to 180 degree then X is equals to 18 if you want to find value of earth 3x than 18 x 3=54 and if you want to find value of 7x than 7 X 18 then we get 126 other one of 180-54=126 and last angle is of 180-126=54

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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