Question

the measures of the angles of a triangle are shown in the figure below. solve for x. answer attempt 1 out of 3 x =

Explanation:

Step1: Recall angle - sum property

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

Step2: Set up the equation

We have a right - triangle with angles 24°, 90° (the right - angle), and \(x\)°. So, \(24 + 90+x=180\).

Step3: Simplify the left - hand side

\(24 + 90=114\), so the equation becomes \(114 + x=180\).

Step4: Solve for \(x\)

Subtract 114 from both sides: \(x=180 - 114\).
\(x = 66\)

Answer:

66