Question

the figure shows two intersecting lines. write an equation to show how ( mangle1 ) and ( mangle2 ) are related.

Explanation:

Step1: Identify the relationship

When two lines intersect, adjacent angles form a linear pair. The sum of angles in a linear pair is \(180^{\circ}\).
\(m\angle1 + m\angle2\)

Step2: Write the equation

Since \(\angle1\) and \(\angle2\) are adjacent and form a linear pair, their measures add up to \(180^{\circ}\).
\(m\angle1 + m\angle2=180^{\circ}\)

Answer:

\(m\angle1 + m\angle2 = 180^{\circ}\)