Question

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

Explanation:

Step1: Recall the definition of supplementary angles

When two lines intersect, adjacent angles form a linear pair. A linear pair of angles is supplementary, meaning their measures add up to \(180^{\circ}\).

Step2: Identify the relationship between \(\angle1\) and \(\angle2\)

\(\angle1\) and \(\angle2\) are adjacent angles formed by the intersection of two lines (a linear pair). So, \(m\angle1 + m\angle2=180^{\circ}\)

Answer:

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