Question

find the value of x.
x =

Explanation:

Step1: Identify angle - sum relationship

The two angles \(x^{\circ}\) and \((4x)^{\circ}\) are complementary (since the right - angle symbol is shown, and the sum of angles in a right - angle is \(90^{\circ}\)). So, \(x + 4x=90\).

Step2: Combine like terms

Combining the left - hand side of the equation \(x + 4x = 90\), we get \(5x=90\).

Step3: Solve for x

Divide both sides of the equation \(5x = 90\) by 5. So, \(x=\frac{90}{5}=18\).

Answer:

18