Is a linear pair supplementary?

Understand the Problem

The question is asking whether a linear pair of angles are supplementary, which is a fundamental concept in geometry. A linear pair consists of two adjacent angles formed when two lines intersect, and understanding this relationship will guide us in explaining that linear pairs indeed add up to 180 degrees.

Answer

Yes, a linear pair is always supplementary.

The final answer is yes, a linear pair is always supplementary.

Answer for screen readers

The final answer is yes, a linear pair is always supplementary.

More Information

A linear pair consists of two adjacent angles whose non-common sides form a straight line, summing up to 180 degrees, thus making them supplementary.

Tips

A common mistake is to think that supplementary angles must always form a linear pair. However, supplementary angles only need to sum to 180 degrees.

Sources

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