What is the complementary angle of \( 30^\circ \)?

What is the complementary angle of \( 30^\circ \)?

• A. 30°
• B. 45°
• C. 60°
• D. 90°

Answer: (C)

To determine the complementary angle of \( 30^\circ \), we need to understand the concept of complementary angles. Two angles are considered complementary if their measures add up to \( 90^\circ \). In this case, we take \( 30^\circ \) and find the angle that, when added to it, equals \( 90^\circ \). The calculation is straightforward: \[ 90^\circ - 30^\circ = 60^\circ \] This means the angle that complements \( 30^\circ \) is \( 60^\circ \). Therefore, the correct answer is indeed \( 60^\circ \), which makes it clear that when adding \( 30^\circ \) and \( 60^\circ \), the total is \( 90^\circ \), confirming they are complementary.

To determine the complementary angle of ( 30^\circ ), we need to understand the concept of complementary angles. Two angles are considered complementary if their measures add up to ( 90^\circ ).

In this case, we take ( 30^\circ ) and find the angle that, when added to it, equals ( 90^\circ ). The calculation is straightforward:

[

90^\circ - 30^\circ = 60^\circ

]

This means the angle that complements ( 30^\circ ) is ( 60^\circ ). Therefore, the correct answer is indeed ( 60^\circ ), which makes it clear that when adding ( 30^\circ ) and ( 60^\circ ), the total is ( 90^\circ ), confirming they are complementary.