Question

What is a requirement of adjacent angles? adjacent angles must be vertical. adjacent angles must be supplementary. adjacent angles must share a vertex. adjacent angles must share interior points.

Answer 1

Adjacent angles must share a vertex , is a requirement of adjacent angles.

• Two angles are Adjacent when they have a common side and a common vertex.

Adjacent angles -

• The two angles are said to be adjacent angles when they share the common vertex and side.
• The endpoint of the rays, forming the sides of an angle, is called the vertex of an angle.
• Adjacent angles can be a complementary angle or supplementary angle when they share the common vertex and side.

• Supplementary adjacent angles always add up to 180. This is because the two angles sit next to each other on a straight line and all angles on a straight line add up to 180.
• However, if the adjacent angles are not linear pairs and another angle is in the mix, the two adjacent angles will not add up to 180.

Therefore, Adjacent angles must share a vertex.

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