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What is the value of x? Enter your answer in the box. ​ Two intersection lines. Angle formed at the top is labeled 2 x plus 2 degrees. Angle formed at the bottom is labeled 3 x minus 52 degrees.

Verified Answer :

nobillionaireNobley

Angle at the top is equal to angle at the bottom
2x + 2 = 3x - 52
3x - 2x = 2 + 52
x = 54

Answer: The value of x is 54.

Step-by-step explanation:

Since we have given that

Angle formed at the top is given by

\((2x+2)\textdegree\)

Angle formed at the bottom is given by

\((3x-52)\textdegree\)

Since these two lines are intersecting , and these angles that are formed are vertically opposite to each other.

As we know that "Vertically opposite angles are equal to each other":

\(2x+2=3x-52\\\\2+52=3x-2x\\\\54=x\)

Hence, the value of x is 54.

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