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  • The measures of two adjacent angles of a parallelogram are in the ratio 3 : 2. Find the measure of each of the angles of the parallelogram.

5. The measures of two adjacent angles of a parallelogram are in the ratio 3 : 2. Find the measure of each of the angles of the parallelogram.

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The measures of two adjacent angles of a parallelogram are in the ratio 3 : 2.

Sum of adjacent angles is 180\degree.

\therefore                     3\times x+2\times x = 180\degree

                                          5\times x = 180\degree

                                                   x = 36\degree

Hence, angles are 2\times 36\degree=72\degree and 3\times 36\degree=108\degree.

Let  there be a parallelogram ABCD then,      \angle A=\angle C=108\degree  and \angle B=\angle D=72\degree. (Opposite angles are equal)

 

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