Question

1. given that line n is perpendicular to line m, what are the measures of angles 1, 2, 3, and 4.

n ⊥ m
90°, 90°, 180°, 180°
180°, 90°, 180°, 90°
90°, 90°, 90°, 90°
45°, 45°, 45°, 45°

Explanation:

Step1: Recall perpendicular - line property

When two lines are perpendicular, the angles formed at their intersection are right - angles.

Step2: Determine angle measures

Since line $n$ is perpendicular to line $m$, $\angle1 = 90^{\circ}$, $\angle2=90^{\circ}$, $\angle3 = 90^{\circ}$, and $\angle4=90^{\circ}$ (vertical angles are congruent and adjacent angles formed by perpendicular lines are right - angles).

Answer:

C. $90^{\circ},90^{\circ},90^{\circ},90^{\circ}$