Two adjacent angles of a parallelogram are such that one is two thirds the other. Find the measure of the smaller angle.

Correct option is B

Given:

Adjacent angles of parallelogram is like one is two third of other

Formula Used:

Opposite angle in parallelogram are equal

Sum of adjacent angles of a parallelogram is $$180^o$$​​

Solution:

Let one angle be x

Then other angle will be:

= $$\frac{2}{3} of x = \frac{2x}{3}$$​​

Now $$x + \frac{2x}{3} = 180^o$$​​

​$$\frac{3x+2x}{3} = 180^o$$​​

​$$x= 108^o$$​​

The other angle $$= \frac{2}{3}\ of \ 108^o = 72^o$$​​