1. line r is perpendicular to line s because angle 2 and angle 3 are 90°
2. angle 1 + angle 2 = 90° because angle 3 = angle 1
1. Perpendicular lines are lines that formed 90°.
line r is parallel to line q
therefore;
angle 1 + angle 3 = 180° ( angles on a straight line)
angle 1 + angle 2 = 180°
Therefore angle 2 = angle 3 ( corresponding angles)
angle 2 + angle 3 = 180°
therefore
angle 2 = 90°
angle 3 = 90°
Therefore line r is perpendicular to line s
2. angle DAB is 90° : given
angle 3 + angle 2 = 90
angle 2 = angle 4 ( alternate interior angles)
angle 3 = angle 1( alternate interior angles)
Therefore
substitute angle 3 for angle 1
angle 1 + angle 2 = 90°