Question

the figure shows two intersecting lines. write an equation to show how ( mangle1 ) and ( mangle2 ) are related. ( mangle1 ) ( mangle2 ) ( 90^{circ} ) ( 180^{circ} )

Explanation:

Step1: Recall the definition of supplementary angles

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

Step2: Relate \(m\angle1\) and \(m\angle2\)

Since \(\angle1\) and \(\angle2\) form a linear pair, we have \(m\angle1 + m\angle2=180^{\circ}\)

Answer:

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