Question

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

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:

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