Question

1. select 2 that apply.

diagram showing angles with labels: 30°, 90°, 60°, 150°, 30°; angles ∠2, ∠8, ∠1, ∠3
which angles are complementary? __ and __
options: ∠2, ∠8, ∠1, ∠3

Explanation:

Step1: Recall complementary angles

Complementary angles sum to \(90^\circ\).

Step2: Analyze each angle

• \(\angle 2 = 30^\circ\) (given).
• \(\angle 1 = 60^\circ\) (given).
• \(\angle 3 = 90^\circ\) (right angle symbol).
• \(\angle 8\): From vertical angles or linear pairs, but we focus on given angles. Check sums:
• \(\angle 2 + \angle 1 = 30^\circ + 60^\circ = 90^\circ\), so they are complementary.
• \(\angle 2 + \angle 3 = 30^\circ + 90^\circ = 120^\circ

eq 90^\circ\).

• \(\angle 1 + \angle 3 = 60^\circ + 90^\circ = 150^\circ

eq 90^\circ\).

• \(\angle 8\) is not related to a \(90^\circ\) sum with the others here (since \(\angle 8\) is part of a linear pair with \(\angle 7\), etc., not forming \(90^\circ\) with \(\angle 1\) or \(\angle 2\)).

Answer:

\(\angle 2\) and \(\angle 1\) (or \(\angle 1\) and \(\angle 2\))