Question

the figure shows three intersecting lines. lines g and h are perpendicular.
how are ∠1 and ∠2 related?
complete the equation.
m∠1 + m∠2 = □°

Explanation:

Step1: Analyze the relationship between ∠1 and ∠2

Since lines \(g\) and \(h\) are perpendicular, the angle between them is \(90^{\circ}\). ∠1 and ∠2 form a right - angle.

Step2: Calculate \(m\angle1 + m\angle2\)

By the definition of complementary angles (two angles whose sum is \(90^{\circ}\)), if two angles form a right - angle, their sum is \(90^{\circ}\). So \(m\angle1 + m\angle2=90\)

Answer:

\(90\)