What is the complementary angle of a 30-degree angle?

What is the complementary angle of a 30-degree angle?

• A. 30 degrees
• B. 60 degrees
• C. 90 degrees
• D. 120 degrees

Answer: (B)

To determine the complementary angle of a given angle, you need to understand that complementary angles are two angles whose measures add up to 90 degrees. In this case, to find the complementary angle of a 30-degree angle, you subtract the measure of the angle from 90 degrees: 90 degrees - 30 degrees = 60 degrees. Thus, the complementary angle of a 30-degree angle is indeed 60 degrees. This means if you have a 30-degree angle and you create another angle that measures 60 degrees, the two angles together will sum to 90 degrees, confirming their complementary relationship. Recognizing this concept is crucial in solving problems related to angle relationships in geometry.

To determine the complementary angle of a given angle, you need to understand that complementary angles are two angles whose measures add up to 90 degrees.

In this case, to find the complementary angle of a 30-degree angle, you subtract the measure of the angle from 90 degrees:

90 degrees - 30 degrees = 60 degrees.

Thus, the complementary angle of a 30-degree angle is indeed 60 degrees. This means if you have a 30-degree angle and you create another angle that measures 60 degrees, the two angles together will sum to 90 degrees, confirming their complementary relationship.

Recognizing this concept is crucial in solving problems related to angle relationships in geometry.