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 = \boxed{}

Explanation:

Step1: Identify the angle formed by perpendicular lines

Lines \( g \) and \( h \) are perpendicular, so the angle between them is \( 90^\circ \). This angle is composed of \( \angle 1 \) and \( \angle 2 \).

Step2: Sum of angles \( \angle 1 \) and \( \angle 2 \)

Since \( \angle 1 \) and \( \angle 2 \) together make up the right angle (because \( g \perp h \)), we have \( m\angle 1 + m\angle 2 = 90^\circ \).

Answer:

\( 90 \)