angle 1 and angle 2 are both adjacent AND supplementary 

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angles that share a common vertex; angles next to each other, like angle 1 and angle 2 below

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adjacent angles

two angles whose measures add to 180 degrees (NOTE: they don't have to be adjacent!)

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supplementary angles

two angles that do NOT share a common vertex; two angles that are not next to each other 

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two angles whose measures add to 90 degrees (NOTE: they don't have to be adjacent!)

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complementary angles

the angles opposite each other when two lines cross

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vertical angles