Question

the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 1 out of 2 submit answer

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 \(59^\circ\) angle.

Step2: Set up the equation

Let the unknown angle be \(x\). So, \(90 + 59 + x = 180\).

Step3: Solve for \(x\)

First, calculate \(90 + 59 = 149\). Then, \(x = 180 - 149\). So, \(x = 31\).

Answer:

\(x = 31\)