Question

[Hint: Sum of the lengths of to Two opposite angles of a parallelogram are (3x - 2) and (50 - x). Find the measure of the measure of ekchari angle
​

Answer 1

Question:-

Two opposite angles of a parallelogram are

(3x - 2)° and (50 - x)°. Find the measure of each angle of the parallelogram.

Given:-

• Two opposite angles of a parallelogram are
• (3x - 2)° and (50 - x)°.

To Find:-

• The measure of each angle of the parallelogram.

Solution:-

Since opposite angles of a parallelogram are equal.

Therefore,

3x − 2 = 50 − x ⇒ x = 13.

(3x − 2)∘ = 3(13) − 2 = 37∘.

The measures of the adjacent angles of a parallelogram add up to be 180 degrees, or they are supplementary.

The measures of the adjacent angles of a parallelogram add up to be 180 degrees, or they are supplementary.

Another angle = 180 − 37 = 143∘.

The measure of each angle of the parallelogram are

37∘, 143∘, 37∘, 143∘.

Answer:-

The measure of each angle of the parallelogram are 37∘,143∘,37∘,143∘.

Hope you have satisfied. ⚘