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 ∠

Answer 1

Complementary angles are two angles whose measures add up to 90°.

In the given angles:

• m∠1 = 65°
• m∠2 = 90°
• m∠3 = 30°
• m∠4 = 25°

Let's analyze the pairs:

• m∠1 + m∠4: 65° + 25° = 90° (This pair is complementary)
• m∠2 is 90° and cannot be complementary with any angle.
• m∠3 + m∠4: 30° + 25° = 55° (Not complementary)
• m∠1 + m∠3: 65° + 30° = 95° (Not complementary)
• m∠3 + m∠2: 30° + 90° = 120° (Not complementary)
• m∠1 + m∠2: 65° + 90° = 155° (Not complementary)

Therefore, the complementary angles are: smaller ∠4 and larger ∠1.