Question

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

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). This triangle is right - angled, so one angle is \(90^\circ\), another is \(64^\circ\), and the third is \(x^\circ\). So we can write the equation \(x + 90+ 64=180\).

Step2: Solve for x

First, add 90 and 64: \(90 + 64=154\). Then the equation becomes \(x+154 = 180\). Subtract 154 from both sides: \(x=180 - 154\).

Answer:

\(x = 26\)