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

Explanation:

Step1: Identify the relationship

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}). (m\angle1 + m\angle2)

Step2: Write the equation

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

Answer:

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