Question

find the value of x. 123° (x - 1)° (x - 1)° x =

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is 360°. So, we can set up the equation based on the given angles: \(123+(x - 1)+(x - 1)=360\).

Step2: Simplify the left - hand side

First, combine like terms: \(123 + 2(x - 1)=360\). Expand \(2(x - 1)\) to get \(2x-2\). Then the equation becomes \(123+2x - 2=360\), 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:

\(119.5\)