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