Question

The measure of two adjacent of a parallelogram are in the ratio 3:2 . Find the measure of each of the angle of the parallelogram​

Answer 1

In the above question , the following information is given -

The measure of two adjacent of a parallelogram are in the ratio 3:2 .

To find -

Find the measure of each of the angle of the parallelogram .

Solution :

Here ,

The measure of two adjacent of a parallelogram are in the ratio 3:2 .

Let these adjacent angles be 2k and 3k respectively .

Now , we know that In a parallelogram , the adjacent angles are supplementary , i.e, they add upto 180°

=> 2k + 3k = 180°

=> 5k = 180°

=> k = 36°

Angle 1 = 2k = 72°

Angle 2 = 3k = 108°

Now, we know that in a parallelogram , opposite angles are equal .

So, Angle 1 = Angle 3 = 72°

Angle 2 = Angle 4 = 108°

Thus , the required angles are 72° , 108°, 108° and 72° respectively .

This is the required answer .

_____________________________________

Answer 2

$\huge \pink{\mathbb {Answer }}$

Let us take the two adjacent angles be 3x & 2x

Note :- Sum of the adjacent angles in a parallelogram is 180°

So, we will simply add up and equal to 180 and will get the value of x

→ 3x + 2x = 180

→ 5x = 180

→ x = 180/5

→ x = 36

Thus, we got the value of x which is 36

Now, we will simply subsitute the values

1st angle :- 3x = 3 × 36 = 108

2nd angle :- 2x = 2 × 36 = 72

So the final answer is here :)