Lines m and n are parallel
Line t intersect them
Then the two angles (4x - 9) and (3x + 29) are in the corresponding position, so they are equal in measures
4x - 9 = 3x + 29
Let us solve the equation to find x
Subtract 3x from both sides to move 3x from the right side to the left side
4x - 3x - 9 = 3x - 3x + 29
x - 9 = 29
Add 9 to both sides to move -9 from the left side to the right side
x - 9 + 9 = 29 + 9
x = 38
The value of x is 38