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Are these angles adjacent, vertical, complementary, or supplementary?

Angles: 60° and 100°

A. Supplementary
B. Vertical
C. Adjacent
D. Complementary

Answer :

Final answer:

The angles 60° and 100° are neither adjacent, vertical, supplementary nor complementary due to the absence of required information and their total measure not adding up to 90° or 180°.

Explanation:

Angles are a fundamental aspect of geometry. Specifically, the angles in question are 60° and 100°, and we are asked to determine their relationship - whether they are adjacent, vertical, supplementary, or complementary.

Adjacent angles are two angles that share a common vertex and a common side but no common interior points. In this case, we cannot determine if these angles are adjacent, since we don't know their exact positioning relative to each other.

Vertical angles are the angles opposite each other when two lines intersect. Again, there is no information provided to determine if these angles are vertical.

Supplementary angles are two angles whose measures add up to 180°. In this case, 60° + 100° = 160°, so these angles are not supplementary.

Complementary angles are two angles whose measures add up to 90°. In this case, 60° + 100° is greater than 90°, so these angles are not complementary.

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