Question

solve for x.
(124 - x)°
(8x + 43)°
x =
submit

Explanation:

Step1: Identify angle - relationship

Assume $DE\parallel FG$. Then, the angles $(124 - x)^{\circ}$ and $(8x + 43)^{\circ}$ are corresponding angles (or alternate - exterior angles if the lines are parallel), so they are equal.
$124−x = 8x + 43$

Step2: Solve the equation for x

Add $x$ to both sides of the equation:
$124=8x + 43+x$
$124=9x + 43$
Subtract 43 from both sides:
$124 - 43=9x$
$81 = 9x$
Divide both sides by 9:
$x=\frac{81}{9}$

Answer:

$x = 9$