Question

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.

Answer 1

Answer: The value of x is 54.

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.

Answer 2

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