Transversal Problems with Equations.

Given m, is parallel to, m∥n, find the value of x.
(2x -29)° (7x+2)°

3 answers

To find the value of x, we need to use the property that corresponding angles formed by a transversal cutting parallel lines are congruent.

So, we can set the two corresponding angles equal to each other:

2x - 29 = 7x + 2

Now, we can solve for x:

5x = -27
x = -27/5

Therefore, the value of x is -27/5.
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Given that m is parallel to n, we can conclude that the corresponding angles formed by the transversal are congruent.

Thus, we have the equation:

(2x - 29)° = (7x + 2)°

Now, we can solve for x:

2x - 29 = 7x + 2
-5x = 31
x = -31/5

Therefore, the value of x is -31/5.
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