Question

the measures of the angles of a triangle are shown in the figure below. solve for x.

Explanation:

Step1: Recall angle - sum property

The sum of the interior angles of a triangle is 180°. So, we have the equation $36 + 62+(5x - 8)=180$.

Step2: Simplify the left - hand side

First, combine like terms: $(36 + 62-8)+5x=180$. Then, $36+62 - 8=90$, so the equation becomes $90 + 5x=180$.

Step3: Isolate the variable term

Subtract 90 from both sides of the equation: $5x=180 - 90$. So, $5x=90$.

Step4: Solve for x

Divide both sides by 5: $x=\frac{90}{5}$. Thus, $x = 18$.

Answer:

$x = 18$