Can two acute angles be vertical, adjacent, complementary, or supplementary?

1 Answer
Dec 28, 2015

Two acute angles can be
vertical,
adjacent,
complementary.

They cannot be supplementary.

Explanation:

Two angles #/_A# are vertical (formed by two intersecting lines) and acute (smaller than #90^o#).
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Angles #/_1# and #/_2# are adjacent (share one side) and acute.
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Angles #/_a# and #/_b# are complimentary (sum of them equals to #90^o#) and acute.
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Two acute angles cannot be supplementary (sum of them should equal to #180^o#) because each of them is smaller than #90^o#.