Question

find the value of x.

Explanation:

Step1: Find the sum of angles

The sum of angles around a point is \(360^{\circ}\). Here, we have a right - angle (\(90^{\circ}\)) and an angle of \(26^{\circ}\).
So, \(16x+90 + 26=180\) (because the sum of angles on a straight line is \(180^{\circ}\) for the vertical line part we are considering).

Step2: Solve the equation

First, simplify the left - hand side of the equation: \(16x+116 = 180\).
Then, subtract \(116\) from both sides: \(16x=180 - 116\).
\(16x=64\).
Divide both sides by \(16\): \(x=\frac{64}{16}\).

Answer:

\(x = 4\)