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 \(74 + 61+x=180\).

Step2: Simplify the left - hand side

\(74 + 61=135\), so the equation becomes \(135 + x=180\).

Step3: Solve for x

Subtract 135 from both sides: \(x=180 - 135\).
\(x = 45\)

Answer:

\(x = 45\)