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: Identify the angle relationship

∠1 and ∠2 are adjacent angles formed by two intersecting lines, and they form a linear pair. A linear pair of angles is supplementary, meaning their measures add up to 180°.

Step2: Write the equation

So, we can write the equation as \( m\angle1 + m\angle2 = 180^\circ \).

Answer:

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