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However, supplementary angles do not have to be on the same line, and can be separated in space.

Can you find any pairs of supplementary angles?

Supplementary angles are pairs of angles that add up to 180 degrees.

Two angles that sum to a straight angle (180 ) are called supplementary angles.

In general for supplementary angles x and y:

Supplementary angles are two angles with the sum equal to 180 .

The exterior angle is the supplementary angle to the interior angle.

The sines of supplementary angles are equal.

Then since opposite angles are supplementary angles.

Animated demonstration - Interactive applet and explanation of the characteristics of supplementary angles.

When the lines are parallel, as is often the case, a transversal produces several congruent and several supplementary angles.

If the two supplementary angles are adjacent (i.e. have a common vertex and share just one side), their non-shared sides form a straight line.

Supplementary Angles animated demonstration.

The product to sum identity has been applied twice and the middle two terms cancel out on account of being cosines of supplementary angles.

Once again the product to sum identity has been applied and the second term has been rewritten in terms of its supplementary angle.

We've worked through the greater part of the program first laid out, and are taking care of some of the supplementary angles that have been added since.

Quadrilaterals that can be circumscribed have particular properties including the fact that opposite angles are supplementary angles (adding up to 180 or π radians).

Angles BDA and ADC form a linear pair, that is, they are adjacent supplementary angles.

But AOH is a straight line, so angle DOH and DOA are supplementary angles.

A quadrilateral is a trapezoid if and only if it only has two adjacent angles that are supplementary angles, that is, they add up 180 degree (angle)s.

Supplementary angles are formed when one or more rays share the same vertex and are pointed in a direction that in between the two original rays that form the straight angle (180 degrees).

The exterior bisector is the line that divides the supplementary angle (of 180 minus the original angle), formed by one side forming the original angle and the extension of the other side, into two equal angles.

When a wave train strikes a wall at an oblique angle, the reflected wave train departs at the supplementary angle causing a cross-hatched wave interference pattern known as the clapotis gaufré ("waffled clapotis").

Since the sine of an angle and the sine of its supplementary angle are the same any angle of rotation that maps one of the lines into the other leads to the same value of the spread between the lines.

The base angles of an isosceles trapezoid are equal in measure (there are in fact two pairs of equal base angles, where one base angle is the supplementary angle of a base angle at the other base).