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 =

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). This triangle has a right angle (\(90^\circ\)), \(38^\circ\), and \(x^\circ\).

Step2: Set up the equation

\(90 + 38 + x = 180\)

Step3: Solve for x

First, add \(90\) and \(38\): \(90 + 38 = 128\). Then, subtract from \(180\): \(x = 180 - 128 = 52\).

Answer:

\(x = 52\)