What sum do supplementary angles equal?

What sum do supplementary angles equal?

• A. 90 degrees
• B. 180 degrees
• C. 270 degrees
• D. 360 degrees

Answer: (B)

Supplementary angles are defined as two angles whose measures add up to 180 degrees. This concept is fundamental in geometry and is often encountered in various mathematical contexts. When two angles are supplementary, their combined total precisely reaches the straight angle, which is represented as 180 degrees. For instance, if one angle measures 120 degrees, the other would measure 60 degrees, since 120 + 60 = 180. This relationship is crucial for solving problems related to angles in different geometric shapes and in real-world applications such as architecture and engineering, where understanding angle relationships is essential. Therefore, the sum of supplementary angles is unequivocally 180 degrees. This makes it clear why that choice is correct in the context of the question.

Supplementary angles are defined as two angles whose measures add up to 180 degrees. This concept is fundamental in geometry and is often encountered in various mathematical contexts.

When two angles are supplementary, their combined total precisely reaches the straight angle, which is represented as 180 degrees. For instance, if one angle measures 120 degrees, the other would measure 60 degrees, since 120 + 60 = 180. This relationship is crucial for solving problems related to angles in different geometric shapes and in real-world applications such as architecture and engineering, where understanding angle relationships is essential.

Therefore, the sum of supplementary angles is unequivocally 180 degrees. This makes it clear why that choice is correct in the context of the question.