Question

name a pair of complementary angles. angle 4 and angle 5; angle 3 and angle 5; angle 1 and angle 2; angle 3 and angle 2

Explanation:

Step1: Recall complementary angles definition

Complementary angles sum to \(90^\circ\). From the diagram, \(\angle 1 + \angle 2 + \angle 3 = 180^\circ\), and \(\angle 3 = 90^\circ\) (right angle), so \(\angle 1 + \angle 2 = 90^\circ\).

Step2: Analyze other options

• Angle 4 and 5: They are supplementary (sum to \(180^\circ\)).
• Angle 3 and 5: \(\angle 3 = 90^\circ\), \(\angle 5\) is adjacent to a straight line, so they are supplementary.
• Angle 3 and 2: \(\angle 3 = 90^\circ\), \(\angle 2\) is part of the right angle, but \(\angle 3 + \angle 2>90^\circ\).

Answer:

Angle 1 and Angle 2