Question

the measures of the angles of a triangle are shown in the figure below. solve for x.

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). This triangle has a right angle (\(90^\circ\)) and a \(50^\circ\) angle.

Step2: Set up the equation

Let the unknown angle be \(x\). So, \(90 + 50 + x = 180\).

Step3: Solve for \(x\)

Simplify the left side: \(140 + x = 180\). Subtract \(140\) from both sides: \(x = 180 - 140 = 40\).

Answer:

\(40\)