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PLEASE HELP ME!!

I don't understand.... If possible, please explain!

If ABC ≅ DCE,
Angle B = 2x + 31 and Angle E = 7x - 24
x = [?]

PLEASE HELP ME!! I don't understand.... If possible, please explain! If ABC ≅ DCE-example-1
User Skgskg
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1 Answer

2 votes

Answer:

The congruence statement tells you that both angle B and angle E are equal, since the triangles are identical!

Explanation:

We want to set the equations equal to each other.

2x+31=7x-24

We need to isolate our variable, which is X.

1. Add 24 to both sides.

New Equation: 2x+55=7x

2. Subtract 2x from both sides.

New Equation: 55=5x

3. Divide by 5 from both sides so X is alone!

New Equation: x=11

Enough said! :D

User Core Xii
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