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

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

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

Answer

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

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

Answer:

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