A figure consists of four angles. The angle measures are as follows: m∠1=65°

Question

, m∠2=90°
, m∠3=30°
, and m∠4=25°
. Which two angles are complementary angles? Identify by the angle number and not the degree measurement. List the smaller angle value first and the larger angle value second.(1 point)
smaller ∠
and larger ∠
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Answer 1

Complementary angles are two angles that sum up to 90 degrees.

In this case, let's look for pairs of angles that add up to 90°:

• ∠1 (65°) + ∠2 (90°) = 155° (not complementary)
• ∠1 (65°) + ∠3 (30°) = 95° (not complementary)
• ∠1 (65°) + ∠4 (25°) = 90° (complementary)
• ∠2 (90°) can’t be paired since it alone equals 90°, and is not complementary to any other angle.
• ∠3 (30°) + ∠4 (25°) = 55° (not complementary)

The only complementary pair is ∠4 (25°) and ∠1 (65°).

Thus, the answer is: smaller ∠4 and larger ∠1