Question

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

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). This is a right triangle, so one angle is \(90^\circ\), another is \(24^\circ\), and the third is \(x^\circ\). So, \(24 + 90 + x = 180\).

Step2: Solve for x

First, add \(24\) and \(90\): \(24 + 90 = 114\). Then, subtract from \(180\): \(x = 180 - 114\). \(x = 66\).

Answer:

\(66\)