Question

find the value of x.

x =

Explanation:

Step1: Use the straight - angle property

The sum of angles around a point on a straight line is \(180^{\circ}\). Here, \(58+(x - 3)+(x - 3)=180\).

Step2: Simplify the equation

First, expand the left - hand side: \(58+x-3+x - 3=180\). Combine like terms: \(52 + 2x=180\).

Step3: Solve for \(x\)

Subtract \(52\) from both sides: \(2x=180 - 52\), so \(2x=128\). Then divide both sides by \(2\): \(x=\frac{128}{2}\).

Answer:

\(x = 64\)