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

`y=45`

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.