Question

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

Explanation:

Step1: Recall the sum of angles in a triangle

The sum of the interior angles of a triangle is \(180^{\circ}\).

Step2: Set up the equation

Let the three angles be \(38^{\circ}\), \(90^{\circ}\) (right - angle), and \(x^{\circ}\). Then \(38 + 90+x=180\).

Step3: Solve for \(x\)

First, simplify the left - hand side: \(128 + x=180\). Then subtract \(128\) from both sides: \(x=180 - 128\).

Answer:

\(x = 52\)