Question

given m||n, find the value of x. answer attempt 1 out of 2

Explanation:

Step1: Use property of parallel lines

When two parallel lines are cut by a transversal, the corresponding - angles are equal. Here, the two given angles $(2x - 29)^{\circ}$ and $(7x+2)^{\circ}$ are corresponding angles, so we set up the equation $2x-29 = 7x + 2$.

Step2: Solve the equation for x

First, subtract $2x$ from both sides:
$-29=7x - 2x+2$, which simplifies to $-29 = 5x+2$.
Then subtract 2 from both sides:
$-29 - 2=5x$, so $-31 = 5x$.
Finally, divide both sides by 5:
$x=-\frac{31}{5}=-6.2$.

Answer:

$x = - 6.2$