Question

In a parallelogram, one angle is $\frac{4}{5}$th of the adjacent angle. The adjacent angles of the parallelogram are:

• A. ,
• B. ,
• C. ,
• D. ,

Answer 1

The correct option is A

,

Let x and y be two adjacent angles of a parallelogram

x + y =180°------ (properties of II gram)

4x = 5y ----------- (Given in question)

$\Rightarrow$ x + $\frac{4x}{5}={180}^{\circ }$

$\Rightarrow$$\frac{9x}{5}={180}^{\circ }$

$\Rightarrow$ x = ${100}^{\circ }$

So, y = ${80}^{\circ }$