Complementary angles are two angles whose measures add up to 90°.
Out of the given angles, angles 2 and 3 are complementary angles because:
m∠2 + m∠3 = 90°
90° + 30° = 120° ≠ 90°
Therefore, angles 2 and 3 are not complementary.
Other possible combinations of angles are:
- angles 1 and 4: m∠1 + m∠4 = 65° + 25° = 90°
- angles 2 and 4: m∠2 + m∠4 = 90° + 25° = 115° ≠ 90°
- angles 1 and 3: m∠1 + m∠3 = 65° + 30° = 95° ≠ 90°
Therefore, the two complementary angles are angles 1 and 4.
A figure consists of four angles. The angle measures are as follows: m∠1=65°, 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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