# GEOMETRY: In the diagram, triangle ABC is congruent to triangle DEF. Find the values of X and Y?

### 7 Answers

- KrishnamurthyLv 72 months agoFavourite answer
In the diagram, triangle ABC is congruent to triangle DEF.

The values of x and y:

x = 5 in, y = 20°

- Engr. RonaldLv 72 months ago
eq1

7x + y = 55

y = 55 - 7x

eq2

3x - 3 = 12

3x = 12 + 3

3x = 15

x = 5

y = 55 - 7(5) = 20

so

7x + y = 7(5) + 20 = 55° answer//

3x - 3 = 3(5) - 3 = 12 in answer//

- lenpol7Lv 72 months ago
Since the triangles are congruent , then AB = DE & angle C = Angle F

12 = 3x - 3 & 55 = 7x + y

Hence 9 = 3x

x = 3

When x = 3

55 = 7(3) + y

55 = 21 + y

y = 34

- KennyLv 72 months ago
DE is 12 so x is 5

7 x 5 = 35 55 - 35 = 20 so 7 = 20 I think .

So x = 5 and y = 20 maybe .

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- RichardLv 72 months ago
If they are congruent, 7x + y = 55 degrees, and

3x - 3 inches = 12 inches

You do the rest.

- alexLv 72 months ago
From diagram with triangle ABC is congruent to triangle DEF

---> ∠C =∠ F

and AB = DE

solve 2 equations for x , y

- Anonymous2 months ago
Surprising how many people get try to get their education on Yahoo! Answers or get

others to do their coursework and then pass it off as their own.