Question

find the value of x.

x =

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is 360°. So, \(3x+(9x - 5)+163 = 360\).

Step2: Combine like - terms

\((3x+9x)+(- 5 + 163)=360\), which simplifies to \(12x+158 = 360\).

Step3: Isolate the variable term

Subtract 158 from both sides: \(12x=360 - 158\), so \(12x = 202\).

Step4: Solve for x

Divide both sides by 12: \(x=\frac{202}{12}=\frac{101}{6}\approx16.83\).

Answer:

\(x=\frac{101}{6}\)