Can Three Angles Be Supplementary?

Yes, three angles can be supplementary if the sum of their measures equals 180 degrees. In geometry, supplementary angles are defined as two or more angles that add up to 180 degrees. While we often think of supplementary angles in pairs, there is no rule that limits this definition to just two angles.

For example, consider three angles measuring 30 degrees, 70 degrees, and 80 degrees. When you add these angles together: 30 + 70 + 80 = 180 degrees. Therefore, in this instance, the three angles are indeed supplementary.

It’s important to note that while two angles must always be supplementary if they equal 180 degrees, multiple angles (like three or more) can also achieve this sum. So, whenever you’re working with angles, you can always check if the total reaches 180 degrees to determine if they are supplementary together.

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