Question

find the value of x. x =

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is 360°. So, we have the equation \((x - 1)+(x - 1)+123 = 360\).

Step2: Simplify the left - hand side

Combine like terms: \(2(x - 1)+123=360\). First, expand \(2(x - 1)\) to get \(2x-2\). Then the equation becomes \(2x-2 + 123=360\), which simplifies to \(2x+121 = 360\).

Step3: Isolate the variable term

Subtract 121 from both sides of the equation: \(2x=360 - 121\), so \(2x=239\).

Step4: Solve for x

Divide both sides by 2: \(x=\frac{239}{2}=119.5\).

Answer:

\(119.5\)