Question

if an angle of parallelogram is one third of adjacent angles then the largest angle of the parallelogram is​

Answer 1

hope this will help you

Answer 2

Given:

An angle of a parallelogram is one-third of adjacent angles

To find:

The largest angle of the parallelogram

Solution:

As we know that in the parallelogram opposite angles and the opposite sides of the parallelogram are equal.

and the sum of the adjacent angles of the parallelogram is supplementary

Let one angle of the parallelogram is 3x,

so the value of the adjacent angle is x

So, as per the property of the parallelogram we get:

x+3x = 180°

4x = 180°

x = 180°/4

x = 45°

The value of the largest angle is

3x = 3×45°

3x = 135°

The largest angle of the parallelogram is 135°