Respuesta :

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°

Seprum
A quadrilateral will be a parallelogram when:
[tex]7x+7=21[/tex] and [tex](2y-1)^{\circ}=49^{\circ}[/tex]

So let's solve these equations in order to find [tex]x[/tex] and [tex]y[/tex]:
[tex]7x+7=21[/tex]
[tex]7x=21-7[/tex]
[tex]7x=14[/tex]
[tex]x=14/7=2[/tex]

[tex]2y-1=49[/tex]
[tex]2y=49+1[/tex]
[tex]2y=50[/tex]
[tex]y=50/2=25[/tex]

Solution: [tex]x=2[/tex] and [tex]y=25[/tex]
Ver imagen Seprum