Question

Solve for x
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Answer 1

`x=55`

Explanation:

Corresponding angles of two parallel lines are always equal. The angle on "top" of
`2x+6` corresponds with the angle marked as
`x+9`. Therefore, its measure must also be
`x+9`.

Since these two angles form one side of a line which has 180 degrees, we have the following equation:

`2x+6+x+9=180`

Combine like terms:

`3x+15=180`

Subtract 15 from both sides:

`3x=165`

Divide both sides by 3:

`x=(165)/(3)=\boxed{55}`