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: Recall the definition of perpendicular lines

Perpendicular lines form a right angle (\(90^{\circ}\)). The sum of \(\angle1\) and \(\angle2\) along with the right - angle formed by \(g\) and \(h\) is a straight - line angle (\(180^{\circ}\)). But since \(g\perp h\), we can directly use the property of the angles adjacent to the right - angle.

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

We know that the angle between \(g\) and \(h\) is \(90^{\circ}\). The three angles (\(90^{\circ}\), \(\angle1\), and \(\angle2\)) lie on a straight line. So, \(m\angle1+m\angle2 = 90^{\circ}\) (because \(180^{\circ}- 90^{\circ}=90^{\circ}\))

Answer:

\(90\)