Question

Two adjacent angles of a parallelogram are in the ratio 4: 5. Find the measure of each of
its angles.​

Answer 1

Answer:

Step-by-step explanation:

we know that adjacent angles are supplementry

so 5x +4x=180

9x=180

x=20

the angles= 5x=5*20=100

and 4x=4*20=80

the angles are 100,80,100,80

Answer 2

• The measure of angles of a parallelogram are 80°, 100°, 80°, and 100°

Given:

The two adjacent sides of a parallelogram are in the ratio 4:5

To find:

All the angles of the parallelogram

Some properties of a parallelogram,

• It is quadrilateral which has opposite sides parallel to each other.
• The opposite sides are equal.
• The sum of two adjacent angles of a parallelogram is 180°. As they form between parallel and there is a transversal.
• The opposite angles are equal.

Now,

Let the angles be 4x° and 5x°.

So,

⇒ 4x + 5x = 180

⇒ 9x = 180

⇒ x = 180 ÷ 9

⇒ x = 20

∵ The value of x is 20

So,

The two adjacent angles of the parallelogram are

• 4x = 4 * 20 = 80°
• 5x = 5 * 20 = 100°

As

• The opposite angles are equal.

So, other angles will be 80° and 100°.