Question

the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 3 out of 3 x = 60 submit answer

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Set up the equation

We have angles \(50^{\circ}\), \(90^{\circ}\) (right - angle), and \(x^{\circ}\). So, \(50 + 90+x=180\).

Step3: Simplify the left - hand side

\(140 + x=180\).

Step4: Solve for \(x\)

Subtract \(140\) from both sides: \(x=180 - 140\).

Answer:

\(x = 40\)