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Given m ll n, find the value of X.

Given m ll n, find the value of X.-example-1

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Answer:

x = 4

Explanation:

Given m||n, the angles shown in the image are congruent angles, which means their measures are equal.

So we can write the following equation to find the value of x:

7x - 20 = 4x - 8

  • Transfer like terms to the same side of the equation.

7x - 4x = 20 - 8

  • Subtract.

3x = 12

  • Divide both sides by 3.

x = 4

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