# 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.

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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