Given L || m, m<9 = 9x + 5, and m<5 = x+ 37, find the value of x
To find the value of x, we can start by looking at the given information: L || m, m<9 = 9x + 5, and m<5 = x+ 37.
Since L is parallel to m, it means that if m<9 and m<5 are corresponding angle measurements, they must be equal. Therefore, we can set up an equation:
m<9 = m<5
Substituting the given expressions, we have:
9x + 5 = x + 37
To solve for x, we can subtract x from both sides of the equation:
9x - x + 5 = 37
Simplifying further, we get:
8x + 5 = 37
Next, subtract 5 from both sides of the equation:
8x + 5 - 5 = 37 - 5
Simplifying further, we get:
8x = 32
Finally, to solve for x, we divide both sides of the equation by 8:
8x / 8 = 32 / 8
Simplifying further, we get:
x = 4
Therefore, the value of x is 4.