Question

What is the value of y in the parallelogram below?

Answer 1

Answer: The value of y is 34 and the correct option is B.

Explanation:

It is given that ABCD is a parallelogram.

From the given figure it is noticed that,

$\angle DAB=76^{\circ}$

$\angle ABC=3y^{\circ}$

According to the properties of parallelogram the consecutive angles of parallelogram are supplementary angles and their sum is 180 degree.

From the figure it is noticed that the angle DAB and angle ABC are consecutive angles of the parallelogram.

$\angle DAB+\angle ABC=180^{\circ}$

$76+3y=180$

$3y=180-76$

$3y=102$

$y=34$

Therefore the value of y is 34 and option B is correct.

Answer 2

In a parallelogram, consecutive angles are supplementary.

3y + 78 = 180

3y = 102

y = 34