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What is the answer to x ?

What is the answer to x ?-example-1
User PeteWiFi
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Judging by the question at hand I identified that both triangles are congruent, completely identical.

I then next noticed that M<I and M<P are congruent angles.

So the equation you should have formed should be
3x+4=72-x

The next step is to simplify the problem by first subtracting 4 from each side, to isolate the x, and then adding x to each side to isolate 68. The new equation should be 4x=68

Next just divide both sides by 4, and your solution should be x=17
User Kuu
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8.6k points
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Because both angles are the same, and are in the same spot in the congruent triangles, we can set these angles up to equal each other:


3x + 4 = 72 - x

Add x to both sides:


4x + 4 = 72

Subtract 4 from both sides:


4x = 68

Divide both sides by 4 to get x by itself:


x = 17

The value of x is 17.

User DrakaSAN
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