Adjacent Angles
Angles that have the same vertex, share a common side, and do not overlap.
Adjacent angles are two angles that share a common vertex and a common side. In other words, they are right next to each other and have a side in common.
For example, in the figure below, angles AOC and COB are adjacent angles because they share the vertex O and the side OC.
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A B
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O
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C
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Adjacent angles can be either complementary or supplementary.
Complementary adjacent angles are two angles whose measures add up to 90 degrees. For example, in the figure above, angles AOC and COB are complementary adjacent angles because they add up to 90 degrees (30 + 60 = 90).
Supplementary adjacent angles are two angles whose measures add up to 180 degrees. For example, if we extend line segment CO to point D, then angles AOC and DOE are supplementary adjacent angles because they add up to 180 degrees (30 + 150 = 180).
It is important to note that adjacent angles may not necessarily be congruent (have the same measure). They can have different measures depending on their orientation and their relationship to other angles in the figure.
More Answers:
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Mastering Geometry With Congruent Alternate Interior Angles: Properties, Applications, And More!