Find the value of x that will make L||M.2x - 3MX + 4x = [?]

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03-11-2022
Mathematics

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Find the value of x that will make L||M.2x - 3MX + 4x = [?]

Sagot :

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ZafirahE372518 ZafirahE372518 · Answer 1 · 2022-11-03T17:31:13-04:00

We can say that Line L and Line M are parallel to each other if, when cut by a transversal line, the corresponding angles, the alternate exterior angles, and the alternate interior angles are congruent.

In the figure shown, we have a pair of alternate exterior angles. Therefore, the two angles must be equal to each other. With that, we have the following equation:

[tex]2x-3=x+4[/tex]

From that equation, we can solve x by joining like terms on either side of the equation.

[tex]\begin{gathered} 2x-x=4+3 \\ x=7 \end{gathered}[/tex]

Therefore, x = 7. When asked, the measure of the two angles are 11 degrees.

Sagot :

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