Question

What is the value of y in the parallelogram shown below?

Answer 1

Consecutive angles = 180
alternate interior angles 60 = 40 = 100
100 + 35 + y = 180
y=45

Answer 2

Answer:

$y=45$

Step-by-step explanation:

We have been given an image of a parallelogram. We are asked to find the value of y for our given parallelogram.

We know that opposite angles of parallelogram are equal and two consecutive angles are supplementary.

Using these properties, we can set an equation as:

$35^{\circ}+y^{\circ}+40^{\circ}+60^{\circ}=180^{\circ}$

$135^{\circ}+y^{\circ}=180^{\circ}$

$135^{\circ}+y^{\circ}=180^{\circ}$

$135^{\circ}-135^{\circ}+y^{\circ}=180^{\circ}-135^{\circ}$

$y^{\circ}=45^{\circ}$

$y=45$

Therefore, the value of y is 45.