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

### 7 Answers

- KrishnamurthyLv 71 month agoFavorite Answer
In the diagram, triangle ABC is congruent to triangle DEF.

The values of x and y:

x = 5 in, y = 20°

- Engr. RonaldLv 71 month 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 71 month 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 71 month 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 .

- How do you think about the answers? You can sign in to vote the answer.
- RichardLv 71 month ago
If they are congruent, 7x + y = 55 degrees, and

3x - 3 inches = 12 inches

You do the rest.

- alexLv 71 month ago
From diagram with triangle ABC is congruent to triangle DEF

---> ∠C =∠ F

and AB = DE

solve 2 equations for x , y

- Anonymous1 month 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.