Question

In a parallelogram ABCD, angle A and angle B are in the ratio 3:7. Find the angle A.

180 Degree

70 Degree

None

45 Degree

54 Degree​

Answer 1

Answer:

The answer is 349

Step-by-step explanation:

The answer is 349

Answer 2

Given:

Angle A: Angle B=3:7

To find:

The measure of angle A

Solution:

The measure of angle A is 54°.

We can find the angle by following the given steps-

We are given that ABCD is a parallelogram.

We know that the angles adjacent to each other in a parallelogram are supplementary.

So, the sum of adjacent angles is 180°.

Angle A and Angle B are adjacent angles of the parallelogram ABCD.

We know that angle A+angle B=180°

We are given that the ratio of angle A and angle B is 3:7.

Let us assume that angle A is 3X and angle B is 7X.

On adding these two, we get 180°.

3X+7X=180°

10X=180°

X=180°/10

X=18°

Now, we will use the value of X to calculate the degree of angles A and B.

Angle A=3X=3×18°=54°

Angle B=7X=7×18°=126°

Therefore, the measure of angle A is 54°.