Respuesta :

Answer: x=7 y=8

Step-by-step explanation:

BC=FG

135= 10x+65

-65 -65

70 10x

—— = ———

10 10

X= 7

~

<A = <E

M<A = <E

28=4y-4

+4 +4

32 4y

—— = ——

4 4

Y=8

Congruent shapes have equal sides and angles.

The values of x and y are 7 and 8, respectively.

[tex]\mathbf{ABCD = EFGH}[/tex] means that

[tex]\mathbf{10x + 65 = 135}[/tex]

[tex]\mathbf{4y -4 = 28}[/tex]

Subtract 65 from both sides of [tex]\mathbf{10x + 65 = 135}[/tex]

[tex]\mathbf{10x = 135 - 65}[/tex]

[tex]\mathbf{10x = 70}[/tex]

Divide both sides by 10

[tex]\mathbf{x = 7}[/tex]

Add 4 to both sides of [tex]\mathbf{4y -4 = 28}[/tex]

[tex]\mathbf{4y = 28 + 4}[/tex]

[tex]\mathbf{4y = 32}[/tex]

Divide both sides by 4

[tex]\mathbf{y = 8}[/tex]

Hence, the values of x and y are 7 and 8, respectively.

Read more about congruent shapes at:

https://brainly.com/question/24430586