Question

the measure of two adjacent angles of a parallelogram are in the ratio 5:4 find the measure of all its angles ​

Answer 1

Question:-

• The measure of two adjacent angles of a parallelogram are in the ratio 5:4 find the measure of all its angles

Given:-

• Two adjacent angles of a parallelogram are in the ratio 5:4

To Find:-

• The measure of all angles

Solution:-

Let the ratio be x

As we know

• the sum of any two adjacent angles of a parallelogram is equal to 180°

So,

⇒5x + 4x = 180°

⇒ 9x = 180°

⇒︎x = 180°/9

⇒ x = 20°

Now,

we know that 1st angle is 5x

So,

5x = 5 × 20°

= 100°

We know that 2nd angle is 4x

So,

4x = 4 × 20°

= 80°

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Answer 2

Answer:

100, 80, 100 and 80 degree.

Step-by-step explanation:

Ratio of the adjacent angles of the parallelogram = 5:4

Let, one adjacent angle be 5x. The other angle will be 4x.

As we know that, sum of adjacent angles of a parallelogram are 180 degree.

Hence, 5x + 4x = 180

=> 9x = 180

=> x = 180/9 = 20

Therefore, the angles of the parallelogram are 100, 80, 100 and 80 degree.