Question

the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 1 out of 4 x =

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Set up the equation

We have a right - triangle with angles 90°, 28°, and \(x\). So, \(x + 90+28=180\).

Step3: Solve for \(x\)

First, simplify the left - hand side: \(x + 118 = 180\). Then, subtract 118 from both sides: \(x=180 - 118\).

Answer:

\(x = 62\)