Question

the measures of the angles of a triangle are shown in the figure below. 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 have the equation \(62+(x + 12)+82=180\).

Step2: Simplify the left - hand side of the equation

First, combine like terms: \(62 + 12+82+x=180\), which simplifies to \(156+x=180\).

Step3: Solve for x

Subtract 156 from both sides of the equation: \(x=180 - 156\).

Answer:

\(x = 24\)