Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Α Ε
2
C
X - y
X-8
BG
and the value of yis 6
If AABC and AGEF are congruent, the value of xis
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Answer 1

Answer:

$x$ is $10=y$ is $6$

Step-by-step explanation:

ΔABC≅ΔGEF

EF=BC

AC=GF

$x-y=4$

$x-8=2$

⇒ $\left \{ {{x=10} \atop {y=6}} \right.$

Answer 2

Given that the shapes are congruent, the value of x is 10 and the value of y is 6

How to determine the values of x and y?

Given that the shapes are congruent, we have the following equations

x - 8 = 2

x - y = 4

Solve for x in the first equation

x - 8 = 2

Add 8 to both sides

x = 10

Substitute x = 10 in the second equation

10 - y = 4

Rewrite as:

y = 10 - 4

Evaluate

y = 6

Hence, the value of x is 10 and the value of y is 6

Read more about congruent triangles at:

https://brainly.com/question/1675117

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