Question

Adjacent angles of parallelogram are in the ratio 2 : 3, find all the angles of the parallelogram.

Answer 1

Answer:

sum of adjacent angle is is 180 degree in parallelogram. opposite angles are equal in parallelogram. 3×36 = 108. angles are = 72 ,108 ,72 ,108.

Answer 2

The angles are 72° & 108°

Given :

Adjacent angles of a parallelogram are in the ratio 2 : 3

To find :

The angles

Solution :

Step 1 of 2 :

Form the equation

Here it is given that adjacent angles of a parallelogram are in the ratio 2 : 3

Let the angles are 2x and 3x

We know that in a parallelogram the adjacent angles are supplementary

Thus we get

2x + 3x = 180°

Step 2 of 2 :

Find the angles

2x + 3x = 180°

⇒ 5x = 180°

⇒ x = 180°/5

⇒ x = 36°

Thus we get

First angle = 2x = 72°

Second angle = 3x = 108°

The angles are 72° & 108°

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