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Parallel lines m and n are cut by transversal l. On line m where it intersects with line l, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: blank, blank, 45 degrees, blank. On line n where it intersects with line l, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are blank, (2 x minus 5) degrees, blank, blank.
What is the value of x?

Respuesta :

Answer:

X=70 :) Good Luck!!

Step-by-step explanation:

Using the concept of supplementary angles, it is found that the value of x is of 70 degrees.

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  • The situation is modeled by the graph at the end.
  • The angles of 45º and (2x - 5)º are on the same side, thus they are supplementary.
  • If two angles are supplementary, the sum of their measures is of 180º.

Thus:

[tex]45 + 2x - 5 = 180[/tex]

[tex]2x + 40 = 180[/tex]

[tex]2x = 140[/tex]

[tex]x = \frac{140}{2}[/tex]

[tex]x = 70[/tex]

The value of x is of 70 degrees.

A similar problem is given at https://brainly.com/question/22826236

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