Question

The measures of 2 adjacent angles of a parallelogram are in the ratio 3:2.find the measures of each of the angels of a parallelogram

Answer 1

as you know the sum of two adjacent angles of a parallelogram is 180 degree.  

Since their ratio is 3:2 their measures are: 3x and 2x degree. Write the equation:  

3x+2x=180

5x=180

x=36

3*36=108degree

2*36=72degree

Answer 2

Hola !

Here is your answer ☺

Given - The measure of two adjacent angles of a parallelogram are in ratio of 3:2.

Let the actual angles be 3x and 2x

To find - Measure of each angle of parallelogram.

Calculation - As we know that adjacent angle rule, the sum of adjacent angles is 180° thus,

3x + 2x = 180

5x = 180

x = 180/5 => 36°

Thus the angles are 2(36)=72°

And 3(36) = 108°

So, we have got the two angles that is 108° and 72°

As we know the property of parallelogram

Opposite angles are parallel and equal.

Thus, angle opposite to 108° is 108° and angle opposite to 72° is 72°

So the four angles are 108,72,108,72

Hope it helps !