Question

. In the given figure, PQRS is a parallelogram. Find the values of x and y.​

Answer 1

Hi mate........................

In the figure,

$8x = 32$

$9x = 27$

As opposite sides of parallelogram are parallel. So, these angles are alternate interior angles.

So, the angles are 32° and

27°.

Answer 2

Given,

PQRS is a parallelogram.

Angle PSR = 8x+9y

Angle PQR = (27+32)°

To find,

The values of x and y.

Solution,

The values of x and y will be 4 and 3 respectively.

We can easily solve this problem by following the given steps.

We know that in a parallelogram the opposite sides are of equal length and parallel to each other. And the opposite angles are equal.

Now, according to the question,

SR is a line passing through SR and PQ ( two parallel lines).

So, we have 9y = 27° and 8x = 32° because they are alternate interior angles.

9y = 27°

y = 27/9

y = 3

Now,

8x = 32

x = 32/8

x = 4

Hence, the value of x is 4 and that of y is 3.