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sertanlavr [38]
4 years ago
6

Two parallel lines are crossed by a transversal. Horizontal and parallel lines y and z are cut by transversal x. At the intersec

tion of lines y and x, the bottom right angle is 115 degrees. At the intersection of lines z and x, the uppercase left angle is (3 x + 4) degrees. What is the value of x? x = 21 x = 28 x = 35 x = 37

Mathematics
2 answers:
aalyn [17]4 years ago
6 0

Answer: Last option.

Step-by-step explanation:

See the figure attached.

Given two parallel lines, you need to remember that, by definition, when two parallel lines are cut by a transversal, the interior angles formed on opposite side of the transversal are called "Alternate interior angles".

Alternate interior angles are congruent.

You can observe in the figure attached that the angle 115\° and the angle (3 x + 4)\° are Alternate interior angles. Then, you can say that:

3 x + 4=115

Finally, you must solve for "x". Then:

3 x + 4=115\\\\3x=115-4\\\\3x=111\\\\x=\frac{111}{3}\\\\x=37

scoray [572]4 years ago
5 0

Answer:

D. x = 37

Step-by-step explanation:

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