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Lines a and b are cut by transversal f. At the intersection of lines f and a, the top left angle is 96 degrees. At the intersection of lines b and f, the bottom right angle is (6 x minus 36) degrees. What must be the value of x so that lines a and b are parallel lines cut by transversal f? 10 20 22 32

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JeanaShupp

Answer: 22

Step-by-step explanation:

Lines a and b are cut by transversal f.

Then from the given information,

[tex]6x-36=96[/tex]      [ If two parallel lines are cut by a transversal then, the alternate exterior angles are equal. ]

[tex]\Rightarrow\ 6x=96+36\\\\\Rightarrow\ 6x=132\\\\\Rightarrow\ x=\dfrac{132}{6}\\\\\Rightarrow\ x=22[/tex]

Hence, the value of x so that lines a and b are parallel lines cut by transversal  = 22

Ver imagen JeanaShupp

Answer:

22

Step-by-step explanation:

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