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°.

Step2: Set up the equation

We have a right - triangle with angles 90°, 40°, and \(x\). So, \(x + 90+40=180\).

Step3: Solve for \(x\)

First, simplify the left - hand side: \(x + 130 = 180\). Then, subtract 130 from both sides: \(x=180 - 130\).

Answer:

\(x = 50\)