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What are supplementary angles?

Answer: Supplementary angles are angles whose sum is 180 °
 

No matter how large or small angles 1 and 2 on the left become, the two angles remain supplementary which means that  they add up to 180°.

Do supplementary angles need to be next to each other (ie adjacent)?

question
Answer: No!
Supplementary angles do not need to be adjacent angles (angles next to one another) .
Both pairs of angles pictured below are supplementary
supplementary not adjacent
Interactive Supplementary Angles

Click and drag around the points below to explore and discover the rule for vertical angles on your own. You can click and drag points A, B, and C.
(Full Size Interactive Supplementary Angles)

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Practice Problems


Problem 1
If $$m \angle 1 =32 $$ degrees, what is the $$m \angle 2 ? $$
Answer


Problem 2
$$ \angle c $$ and $$ \angle F $$ are supplementary. If $$m \angle C$$ is 25 degrees, what is the $$m \angle F$$?
Answer


Problem 3
If the ratio of two supplementary angles is 2:1, what is the measure of the larger angle?
Answer


Problem 4
If the ratio of two supplementary angles is 8:1, what is the measure of the smaller angle?
Answer