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

Answer 1

Claire Akin

Two acute angles can be
vertical,
adjacent,
complementary.

They cannot be supplementary.

Two angles #/_A# are vertical (formed by two intersecting lines) and acute (smaller than #90^o#).

Angles #/_1# and #/_2# are adjacent (share one side) and acute.

Angles #/_a# and #/_b# are complimentary (sum of them equals to #90^o#) and acute.

Two acute angles cannot be supplementary (sum of them should equal to #180^o#) because each of them is smaller than #90^o#.

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Answer 2

James Atkins

Two acute angles cannot be vertical or supplementary. They can be adjacent or complementary.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.