Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
(figure of a right triangle with one angle x° and another 32°)
answer attempt 1 out of 2
x = |

Explanation:

Step1: Recall triangle angle sum

A triangle's angles sum to \(180^\circ\). This is a right triangle, so one angle is \(90^\circ\), another is \(32^\circ\), and the third is \(x^\circ\).

Step2: Set up the equation

The sum of the angles is \(x + 90 + 32 = 180\). Simplify the left side: \(x + 122 = 180\).

Step3: Solve for x

Subtract 122 from both sides: \(x = 180 - 122\). Calculate the result: \(x = 58\).

Answer:

\(x = 58\)