Question

one of the angles of a parallelogram is equal to 40°. find the rest of the angles. The angles of a parallelogram are

Answer 1

Answer:

40°, 140° and 140°

Step-by-step explanation:

Given:

• In a parallelogram, the measurement of one angle = 40°

To Find:

• What are the measurements of rest angles?

Solution:

● The sum of the adjacent angles of a parallelogram is equal to 180° .

Let the adjacent angle be x .

A/Q,

40° + x = 180°

=> x = 180° - 40°

x = 140°

● The opposite angles of a parallelogram are equal.

Hence, the opposite angle of 140°=140°

the opposite angle of 40° = 40°

Therefore, rest of the angles are 40°, 140° and 140°.