Parallel lines e and f are cut by transversal b.

Horizontal and parallel lines e and f are cut by transversal b. At the intersection of lines b and e, the uppercase right angle is (2 x + 18) degrees. At the intersection of lines b and f, the top right angle is (4 x minus 14) degrees and the bottom right angle is y degrees.

What is the value of y?

16
50
130
164

Using the congruency of the top-right angles, it is found that the value of y is of 130.

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When two parallel lines are cut by a transversal, the top-right angles are congruent, that is, they have the same measure.In this question, their measures are of (2x + 18)º and (4x - 14)º. Thus, with this, we can find x:

;

Thus, the measure of the top right angles is given by, in degrees:

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The top-right and the bottom-right angles are supplementary, that is, the sum of their measures is 180º.The measure of the top-right angle is of 50º.The measure of the bottom-right angle is of y.

Thus:

The value of y is of 130.

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