Which of the following pairs of angles are supplementary? (Choose all that apply.)

Rationale

60 degrees and 120 degrees are supplementary angles.

Supplementary angles are defined as two angles whose measures add up to 180 degrees. In this case, 60 degrees and 120 degrees sum to 180 degrees, making them supplementary.

A (45 degrees and 45 degrees) YOUR ANSWER

The sum of 45 degrees and 45 degrees is 90 degrees. Since supplementary angles must total 180 degrees, this pair does not meet the criteria.

B (72 degrees and 100 degrees) YOUR ANSWER

When added together, 72 degrees and 100 degrees total 172 degrees. While they come close to the supplementary requirement, they do not reach the necessary 180 degrees.

C (35 degrees and 55 degrees) YOUR ANSWER

The sum of 35 degrees and 55 degrees is 90 degrees. Like the first option, this is not sufficient to be classified as supplementary angles, which require a total of 180 degrees.

D (60 degrees and 120 degrees) CORRECT

These two angles add up to exactly 180 degrees (60 + 120 = 180). Therefore, they fulfill the condition of being supplementary angles, as their measures together equal the necessary sum.

Conclusion

Supplementary angles are characterized by their ability to combine to form a straight angle, measuring 180 degrees in total. Among the provided choices, only the pair of 60 degrees and 120 degrees meets this requirement, while the other pairs fall short of the necessary sum. Understanding the definition of supplementary angles is crucial for solving related geometric problems.

Which of the following pairs of angles are supplementary? (Choose all that apply.)

60 degrees and 120 degrees are supplementary angles.

Related Questions

Related Quizzes

How familiar were you with this question?

Report an Issue

Rate this Practice Test