mikaminor3
mikaminor3 mikaminor3
  • 30-11-2020
  • Mathematics
contestada

Instructions: Given the following image of two parallel lines cut by a transversal, find the value of x.​

Instructions Given the following image of two parallel lines cut by a transversal find the value of x class=

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akposevictor
akposevictor akposevictor
  • 05-12-2020

Answer:

First, these angles are alternate interior angles.

[tex] 10x - 5 = 9x + 1 [/tex]

[tex] x = 6 [/tex]

Step-by-step explanation:

(10x - 5)° and (9x + 1)° are alternate interior angles. Thus, they are congruent to each other.

Thus, to find x, we will set each angle equal to the other.

[tex] 10x - 5 = 9x + 1 [/tex]

Solve for x. Collect like terms

[tex] 10x - 9x = 5 + 1 [/tex]

[tex] x = 6 [/tex]

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