Question

solve for x.
l
11x + 2°
67°
23°
j

Explanation:

Step1: Recall angle - sum property of triangle

The sum of interior angles of a triangle is 180°. In the given triangle, we have the equation $(11x + 2)+67 + 23=180$.

Step2: Simplify the left - hand side of the equation

First, add the constant terms: $67+23 = 90$. So the equation becomes $11x+2 + 90=180$, which simplifies to $11x+92 = 180$.

Step3: Isolate the term with x

Subtract 92 from both sides of the equation: $11x=180 - 92$. So $11x=88$.

Step4: Solve for x

Divide both sides of the equation by 11: $x=\frac{88}{11}$. So $x = 8$.

Answer:

$x = 8$