Question

Find the values of x and y for which the quadrilateral below must be a parallelogram.

Answer 1

Since there is no picture, find here-under the conditions that a quadrilateral becomes a parallelogram:
( All are either or)
1- opposite sides should be congruent
2- opposite angles should be congruent
3- opposite sides parallel
4-The sum of 2 adjacent angles to equal 180°
5 the 2 diagonals intersect in their middle

With any of these conditions, if confirmed, you can conclude that the quadrilateral is a parallelogram (By the way a rectangle is a parallelogram with one angle =90°

Answer 2

A quadrilateral will be a parallelogram when:

`7x+7=21` and
`(2y-1)^(\circ)=49^(\circ)`

So let's solve these equations in order to find
`x` and
`y`:

`7x+7=21`

`7x=21-7`

`7x=14`

`x=14/7=2`


`2y-1=49`

`2y=49+1`

`2y=50`

`y=50/2=25`

Solution:
`x=2` and
`y=25`