Question

find the value of x.
x =

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is 360°. So, \(123^{\circ}+2(x - 1)^{\circ}+2(x - 1)^{\circ}=360^{\circ}\).

Step2: Simplify the equation

First, expand the equation: \(123 + 2x-2+2x - 2=360\). Combine like - terms: \(123-4 + 4x=360\), which gives \(119+4x=360\).

Step3: Solve for x

Subtract 119 from both sides: \(4x=360 - 119\), so \(4x=241\). Then divide both sides by 4: \(x=\frac{241}{4}=60.25\).

Answer:

\(60.25\)