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In the figure find x and y

In the figure find x and y-example-1
User ILiA
by
8.0k points

1 Answer

4 votes

Answer:

x = 8 , y = 14

Explanation:

Given that Δ ABC and Δ DEF are congruent , then

corresponding sides and angles are congruent , so

∠ E and ∠ B are corresponding angles , then

∠ E = ∠ B , that is

6y - 4 = 80 ( add 4 to both sides )

6y = 84 ( divide both sides by 6 )

y = 14

DE and AB are corresponding sides , then

DE = AB , that is

3x - y = 10 ( substitute y = 14 )

3x - 14 = 10 ( add 14 to both sides )

3x = 24 ( divide both sides by 3 )

x = 8

User SMEW Technology
by
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