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Find the value of x so that the line m is parallel to line I.

Find the value of x so that the line m is parallel to line I.-example-1

1 Answer

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Answer is 32

Here's why:
If these two lines are parallel, it means those 2 angles, (3x+11)° and (4x-21)°, are equal. So to find X, you need to set the equation

3x + 11 = 4x - 21 \\ x - 21 = 11 \\ x = 32
If you want to check if it's the right answer, you can go back to those two angles, and if you put 32 instead of X, you'll get two identical numbers (that is 107°)
User Emmanuel BRUNET
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