Question

Angle A of a parallelogram ABCD is 39°.Find the remaining angles​

Answer 1

Step-by-step explanation:

see the image...

see the image

Answer 2

Answer:

The angles of the parallelogram are 39°, 141°, 39°, 141° respectively.

Step-by-step explanation:

Given:

• Angle A = 39°

To Find:

• The remaining angles of the parallelogram

Solution:

Let the angles of the parallelogram be A, B, C, D

We know that in a prallelogram adjacent angles are supplementary.

Hence,

Angle A + Angle B = 180

Hence,

39 + Angle B = 180

Angle B = 180 - 39

Angle B = 141°

Now we know that in a parallelogram, opposite angles are equal.

Hence,

Angle A = Angle C

Angle C = 39°

Angle B = Angle D

Angle D = 141°

Hence the angles of the parallelogram are 39°, 141°, 39°141° respectively.

Verification:

In a parallelogram the sum of all angles is equal to 360°

Hence,

39 + 141 + 39 + 141 = 360

180 + 180 = 360

Hence verified.