Question

find the value of x.

Explanation:

Step1: Identify angle - sum property

The sum of angles around a point is 360°. Here, we have a right - angle (90°) and an angle of 26°, and the angle (16x)°. So, 16x+90 + 26=360.

Step2: Simplify the left - hand side

Combine like terms: 16x+116 = 360.

Step3: Isolate the variable term

Subtract 116 from both sides: 16x=360 - 116, so 16x=244.

Step4: Solve for x

Divide both sides by 16: x = $\frac{244}{16}=\frac{61}{4}=15.25$.

Answer:

15.25