Question

find the value of x.
x =

Explanation:

Step1: Identify angle - sum relationship

The right - angle at point T is composed of two non - overlapping angles. The sum of the measures of the two angles \(38^{\circ}\) and \((4x)^{\circ}\) is \(90^{\circ}\). So, we can write the equation \(38 + 4x=90\).

Step2: Solve for \(x\)

First, subtract 38 from both sides of the equation: \(4x=90 - 38\). Then \(4x = 52\). Divide both sides by 4: \(x=\frac{52}{4}\).

Answer:

\(x = 13\)