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What term describes two angles that share a common vertex and a common side?

  1. Adjacent angles

  2. Vertical angles

  3. Complementary angles

  4. Reflex angles

The correct answer is: Adjacent angles

The term that describes two angles sharing a common vertex and a common side is "adjacent angles." These angles are positioned next to each other and have one side in common, while their other sides extend in different directions. This definition fits the structure and characteristics of adjacent angles perfectly. Vertical angles, on the other hand, are formed when two lines intersect, resulting in pairs of opposite angles that are equal but do not share a side. Complementary angles refer to two angles whose measures sum up to 90 degrees, and they do not necessarily need to be adjacent. Reflex angles are those that measure more than 180 degrees but less than 360 degrees, which does not relate to the concept of shared sides or vertices. Therefore, adjacent angles stand out as the correct term here.