Question

find b
100
180
10
80

Explanation:

Step1: Identify the angle relationship

The diagram shows two intersecting lines, so the adjacent angles are supplementary (they add up to \(180^\circ\)). Let the given angle be \(100^\circ\) and the angle we need to find be \(b\). So, \(100^\circ + b = 180^\circ\).

Step2: Solve for \(b\)

To find \(b\), we subtract \(100^\circ\) from both sides of the equation: \(b = 180^\circ - 100^\circ\).
\(b = 80^\circ\)

Answer:

\(80\) (corresponding to the option with 80)