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3 years ago

Two parallel lines are crossed by a transversal what is the value of x

Mathematics

2 answers:

xxTIMURxx [149]3 years ago

6 0

Answer:

The value of x = 37.

Step-by-step explanation:

When you multiply 37 x 3, you get a total of 111. Once you add 111 + 4, you get 115.

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konstantin123 [22]3 years ago

4 0

Answer: The correct option is (D) 37.

Step-by-step explanation: Given that the two parallel lines are crossed by a transversal.

We are to find the value of x.

From the figure, we note that the angles with measures 115° and (3x + 4)° are corresponding angles. So, they must be equal.

Therefore, we must have

$(3x+4)^\circ=115^\circ\\\\\Rightarrow 3x+4=115\\\\\Rightarrow 3x=115-4\\\\\Rightarrow 3x=111\\\\\Rightarrow x=\dfrac{111}{3}\\\\\Rightarrow x=37.$

Thus, the required value of x is 37.

Option (D) is CORRECT.

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