Alternate Interior Angles From Latin: Each pair of these angles are inside the parallel lines, and on opposite sides of the transversal. Try this Drag an orange dot at A or B.

Site Navigation Parallel Lines and Transversals: Parallel lines create situations in which some angles formed by intersecting lines transversals are equal.

We will outline which angles are equal. We use the diagram above where lines l and m are parallel and line t intersecting both l and m is called a transversal.

We identify angles by their positions in this diagram. For example, angles 1 and 2 are Interior angles facing in the same direction, to the upper right.

Such angles are called corresponding angles. Similarly we have angles 3 and 6, angles 4 and 7, and angles 8 and 5 as corresponding angles. Angles 8 and 2 and angles 3 and 7 are on opposite sides of the transversal and between interior the parallel lines.

We call these angles alternate interior angles. Angles 1 and 5 and angles 4 and 6 are on opposite sides of the transversal and above and below exterior to the parallel lines.

We call these angles alternate exterior angles. A direct result of the famous Parallel Postulate is that corresponding angles are equal.

Accepting this fact gives us these relationships Using these facts, especially the fact that corresponding angles are equal, we can show that other angles must also be equal. Since angle 2 is supplementary to angle 6 and angle 1 is supplementary to angle 4, we know that angles 6 and 4 are equal because they are supplementary to equal angles.

These angles 6 and 4 are alternate exterior angles. Since angle 1 is supplementary to angle 3 and angle 7 is supplementary to angle 2 and angles 1 and 2 are equal, we also know that angles 7 and 3 are equal because they are supplementary to equal angles.

These angles 7 and 3 are alternate interior angles.Angle 8 is also 34º since it is vertical to angle 1. Angle 2 has a measure of 34º since it is a corresponding angle to angle 1. Angle 5 has a measure of 34º since it is vertical with angle 2, and also since it is an alternate exterior angle to angle 1.

The other angles are all supplementary to angles 1, 2, 5, and 8. Therefore they have a measure of º. These 2 tutorials and 2 worksheets can be used to develop formulae that connect the number of sides, interior angle and exterior angle of a regular polygon the sum of interior and exterior angles .

Alternate Interior Angles are created where a transversal crosses two (usually parallel) lines. Each pair of these angles are inside the parallel lines, and on opposite sides of the transversal.

Try this Drag an orange dot at A or B. Notice that the two alternate interior angles shown are equal in.

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Alternate Interior Angles are created where a transversal crosses two (usually parallel) lines. Each pair of these angles are inside the parallel lines, and on opposite sides of the transversal. Try this Drag an orange dot at A or B.

Notice that the two alternate interior angles shown are equal in. A group of similar or related goods that is produced by using a particular group of manufacturing procedures, processes or conditions.

The most desirable size of a production run required by a business will depend on the consumer demand for the good produced, as well as how much it costs to set up production and carry excess inventory.

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Cool math .com - Polygons - Pentagons - properties, interior angles