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 \(41^{\circ}+62^{\circ}+x = 180^{\circ}\).

Step2: Simplify the left - hand side

First, add 41 and 62: \(41 + 62=103\), so the equation becomes \(103^{\circ}+x = 180^{\circ}\).

Step3: Solve for x

Subtract 103° from both sides of the equation: \(x=180^{\circ}- 103^{\circ}\).

Answer:

\(x = 77^{\circ}\)