Question

solve for x.
(12x - 23)°
(71 - x)°
x =

Explanation:

Step1: Identify angle - relationship

Assume the angles are corresponding or alternate - interior (since no other information about parallel lines is given but it's a common setup for such problems), so they are equal. Set up the equation $12x - 23=71 - x$.

Step2: Add $x$ to both sides

$12x+x - 23=71 - x+x$, which simplifies to $13x - 23 = 71$.

Step3: Add 23 to both sides

$13x-23 + 23=71 + 23$, resulting in $13x=94$.

Step4: Solve for $x$

$x=\frac{94}{13}\approx7.23$

Answer:

$x = \frac{94}{13}$