Question

1. 2x° 80°

Explanation:

Step1: Use the property of angles around a point

The sum of angles around a point is \(360^{\circ}\). But here, we can also note that \(2x + 80= 180\) (since they are supplementary angles, forming a straight - line).

Step2: Solve the equation for \(x\)

Subtract \(80\) from both sides of the equation \(2x+80 = 180\).
We get \(2x=180 - 80\), so \(2x = 100\).
Divide both sides by \(2\): \(x=\frac{100}{2}\).

Answer:

\(x = 50\)