find the value of x.

The sum of angles around a point is 360°.

We know one angle is 147° and another is 90° (right - angle indicated by the red square) and the third is \(3x\). So, \(147 + 90+3x=360\).

\(147 + 90=237\), so the equation becomes \(237+3x = 360\).

Subtract 237 from both sides: \(3x=360 - 237\).

\(360−237 = 123\), so \(3x=123\).

Divide both sides by 3: \(x=\frac{123}{3}\).

\(x = 41\).

41