Question

li c solve multi-step equations
if aod is a straight line, then find the value of x.

Explanation:

Step1: Sum of angles on a straight line is 180°

The angles around point O on the straight line AOD are \((x + 16)^\circ\), \(128^\circ\), and \(x^\circ\). So, we can write the equation: \((x + 16) + 128 + x = 180\)

Step2: Simplify the left - hand side of the equation

Combine like terms: \(x+x + 16+128=180\), which simplifies to \(2x+144 = 180\)

Step3: Subtract 144 from both sides

\(2x+144 - 144=180 - 144\), so \(2x=36\)

Step4: Divide both sides by 2

\(\frac{2x}{2}=\frac{36}{2}\), which gives \(x = 18\)

Answer:

\(x = 18\)