Answer :

Let us assume a parallelogram ABCD,



We know that the sum of the adjacent angles in a parallelogram is 1800.


We also know that the angles at the opposite vertices are equal.


i.e., A + B = 1800. ...... - (1)


A = C ...... ...... (2)


B = D ...... ...... (3)


According to the problem, it is given that the adjacent angles are in the ratio of 2:1.


Let us assume that the adjacent angles be A and B.


Let’s take the values of B = 2x and A = x


From eq(1) we get,


x + 2x = 1800


3x = 1800



x = 600.


Now find the value of A and B,


A = x


A = 600


B = 2x


B = 2 × 600


B = 1200


From (2) and (3) we get,


C = 600 and D = 1200


The values of A, B, C and D is 600, 1200, 600, 1200.


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