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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 After verifying the computed angles are indeed equal to 71 degrees, we confirm the solution is correct. The value of x is 9 18 35 71 answer by jim_thompson5910 (35256) (show source):

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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 The value of x is determined to be 18 by solving the equation formed by setting the alternate interior angles equal Find the value of x.

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To find the value of x in the situation where parallel lines are cut by a transversal forming alternate interior angles, we know that alternate interior angles are equal.

The alternate interior angles theorem states that if two parallel lines are cut by a transversal, then the alternate interior angles are equal in measurement This property is foundational in geometry. The value of x is 18, according to the calculations performed based on the equality of alternate interior angles cut by a transversal Therefore, the correct answer is option b

This was found by solving the equation formed by setting the angles equal to each other. We are given two expressions for alternate interior angles formed by a transversal cutting through two parallel lines These angles have the measures of 3x + 17 and x + 53 degrees. The problem involves parallel lines cut by a transversal, which results in alternate interior angles that are equal

Here, the angle of 2x degrees and the angle of 128 degrees are congruent as per the alternate interior angles theorem.

Parallel lines are cut by a transversal such that the alternate interior angles have measures of and degrees What is the value of You can find the angle measures formed by parallel lines cut by a transversal by applying angle relationships such as vertically opposite angles, alternate interior angles, and angles that sum to 180 degrees.