Question

1. Two adjacent angles of a parallelogram are in the ratio 1:5. Find all the angles of
the parallelogram.
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Answer 1

Answer:

let the angle be X and 5x

X+5x =180

6x =180

X=180/6

X=30

5x=5*30

150 degree

angles of parallogram are 30,30,150,150

(opposite angles of parallogram are equal )

hope it helps :))

Answer 2

Question:-

• Two adjacent angles of a parallelogram are in the ratio 1:5. Find all the angles of the parallelogram.

Given:-

• Two adjacent angles of a parallelogram are in the ratio 1:5.

To Find:-

• All the angles of the parallelogram = ?

Solution:-

We know that

• the adjacent angles in a parallelogram are supplementry.

Let the two angles be x and 5x

⇒x + 5x = 180°

⇒6x = 180°

⇒x = 180°/6

⇒x = 30°

So,

⇒5x = 5 × 30

⇒150°

Therefore,

The two adjacent angles of a parallelogram are 30° and 150°

We know that opposite angles in a parallelogram are equal.

Hence,

The angles of parallelogram are 30° , 150° , 30° and 150° respectively.

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