Question

identify the correct complementary angles from given pairs of angles.

Explanation:

Step1: Recall complementary angles

Complementary angles sum to \(90^\circ\). So we check each pair:

• Figure 1: \(70^\circ + 20^\circ = 90^\circ\).
• Figure 2: \(160^\circ + 20^\circ = 180^\circ\) (supplementary, not complementary).
• Figure 3: \(90^\circ + 140^\circ = 230^\circ\) (not complementary).
• Figure 4: \(140^\circ + 70^\circ = 210^\circ\) (not complementary).

Step2: Identify the correct pair

Only the angles in Figure 1 (\(70^\circ\) and \(20^\circ\)) add up to \(90^\circ\), so they are complementary.

Answer:

The angles in Figure 1 (the \(70^\circ\) angle and the \(20^\circ\) angle) are the complementary angles.