Question

in a parallelogram one angle is 2/5 of adjesent angle find all the angles

Answer 1

WE KNOW that sum of adjacent angles in parallelogram is 180°
 given one angle is 2/5 of adjacent angle 
so let one angle be X and another angle be 2X/5
   x+2x/5 = 180
   from this x= 128.57   
another angles are 128.57, 51.42,51.42

Answer 2

Answer:

The angles are 128.571° and 51.42°

Step-by-step explanation:

Given : In a parallelogram one angle is 2/5 of adjacent angle

To Find : find all the angles

Solution:

Let  adjacent angle be x

Since we are given that another angle is  2/5 of adjacent angle

So, Another angle = $\frac{2}{5}x$

Property of parallelogram : Sum of adjacent angles of parallelogram is 180°

So,  $x+\frac{2}{5}x=180°$

$\frac{5x+2x}{5}=180°$

$\frac{7x}{5}=180°$

$7x=180 \times 5$

$7x=900$

$x=\frac{900}{7}$

$x=128.571$

Another angle = $\frac{2}{5}x=\frac{2}{5} \times 128.571 =51.42$

Hence the angles are 128.571° and 51.42°