Question

find the value of x. x =

Explanation:

Step1: Use the property of a full - circle angle

The sum of angles around a point is \(360^{\circ}\). The vertical angles are equal. So, \(2(x - 3)+2(x - 3)+2\times58 = 360\).
Simplify the left - hand side: \(2(x - 3)+2(x - 3)+116=360\), which is \(4(x - 3)+116 = 360\).

Step2: Solve the equation for \(x\)

First, subtract \(116\) from both sides: \(4(x - 3)=360 - 116\), so \(4(x - 3)=244\).
Then divide both sides by \(4\): \(x - 3=\frac{244}{4}=61\).
Finally, add \(3\) to both sides: \(x=61 + 3\).

Answer:

\(x = 64\)