Are vertical angles supplementary angles?

Answer 1

Vertical and supplementary are different relationships between angles.
However, there is a special case when vertical angles are supplementary as well - when these angles are right ones.

Vertical angles are formed by two intersecting lines. On a picture below angles #/_A# are vertical, as well as angles #/_B#.

Supplemental angles are those that, if positioned adjacent to each other, form a straight angle.
On a picture below angles #/_KML# and #/_KMH# are supplemental since together they form a straight angle #/_LMH#.

In one particular case, when vertical angles are right angles (that is, lines that form this pair of vertical angles are perpendicular), their sum is equal to a straight angles and, therefore, they are supplemental.
See the picture below that represents angles formed by perpendicular lines.
Angles #/_1# and #/_3# are vertical, as well as angles #/_2# and #/_4#. In addition, since lines are perpendicular to each other, all angles are congruent. Therefore, each of these pairs is also a pair of supplemental angles since their sum is a straight_ angle.

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Answer 2

Yes. Vertical angles are always supplementary angles.

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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.

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.

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.

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.

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