Question

solve for x.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, we set up the equation $(8x + 12)+69 + 43=180$.

Step2: Simplify the left - hand side of the equation

First, combine the constant terms: $12+69 + 43=124$. The equation becomes $8x+124 = 180$.

Step3: Isolate the term with x

Subtract 124 from both sides of the equation: $8x=180 - 124$. So, $8x=56$.

Step4: Solve for x

Divide both sides of the equation by 8: $x=\frac{56}{8}=7$.

Answer:

$x = 7$