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Parallel lines are cut by a transversal such that the alternate interior angles have measures of 3x+17 and x+53 degrees. How do you find the value of x?

Answer 1

Wyatt Anderson

x=18

Alternate interior angles are always equal. So set up and equation.

3x+17=x+53

Bring the like terms to one side by performing the inverse operation

2x=36

x=#36/2#

x=18

ANSWER: x=18

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Answer 2

Sadie Adams

To find the value of ( x ), you can use the fact that when two parallel lines are cut by a transversal, alternate interior angles are congruent. Therefore, you can set up an equation:

[ 3x + 17 = x + 53 ]

Solve this equation for ( x ) to find its value.

[ 3x - x = 53 - 17 ]

[ 2x = 36 ]

[ x = 18 ]

So, the value of ( x ) is 18.

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