Question

if angle A and angle C are in the ratio 3:2,then we have :2angle A =........... and angle B=...........​

Answer 1

Answer:

angle A is 108degree and angle B is 75 degree

Answer 2

If the angle A and angle C of the parallelogram are in the ratio 3:2, then we have angle A =........... and angle B=...........

Angles A and angle B are 108° and 72° respectively.

Given:

The angle A and angle C of the parallelogram are in the ratio 3:2.

To Find:

Angle A and angle B.

Solution:

To find angle A and angle B we will follow the following steps:

As we know,

The sum of adjacent angles of a parallelogram is 180°.

Let the common ratio between the angles is x.

So,

3x + 2x = 180°

5x = 180°

$x = \frac{180}{5} = 36$

Now,

$angle A = 3x= 3 \times 36 = 108$

$angle B \: = 2x= 2 \times 36 = 72$

Henceforth, angles A and angle B are 108° and 72° respectively.

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