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Why are alternate interior angles and alternate exterior angles both called alternate?
Both alternate interior and alternate exterior angle pairs lie on opposite sides of the transversal.
What angle relationships created when lines are cut by transversal?
1. Alternate Interior Angles 2. Alternate Exterior Angles 3. Corresponding Angles 4. Same-Side Interior Angles 5. Same-Side Exterior Angles
What is the converse of parallel lines conjecture?
If two lines are cut by a transversal to form pairs of congruent corresponding angles, congruent alternate interior angles, or congruent alternate exterior angles, then the lines are parallel.
Which regular polygon's interior angles is three times that of its exterior angles?
octagon interior=135 exterior=45
What are the interior and exterior angles of a heptagon?
The interior angles can have any value in the range (0, 360) except 180 degrees and the same for the exterior angles. The only constraint is that the sum of the exterior angles is 360 degrees.
What types of angles are equal?
alternate interior and alternate exterior angles
Why are alternate interior angles and alternate exterior angles both called alternate?
Both alternate interior and alternate exterior angle pairs lie on opposite sides of the transversal.
Are alternate angles congruent?
Yes. Alternate interior and alternate exterior angles are congruent.
What angle relationships created when lines are cut by transversal?
1. Alternate Interior Angles 2. Alternate Exterior Angles 3. Corresponding Angles 4. Same-Side Interior Angles 5. Same-Side Exterior Angles
What are alternate exterior angles?
they are angles that are usually parallel and that crossed the line that are oppsite from each other
If two lines are cut by a transversal to form pairs of congruent corresponding angles congruent alternate interior angles or congruent alternate exterior angles then what are the lines?
The lines are parallel. When a transversal intersects two lines, corresponding angles, alternate interior angles, and alternate exterior angles are congruent only if the lines are parallel. This is a fundamental property of parallel lines and transversals in geometry.
Are the alternate interior angles of two parallel lines cut by a transveral always interior?
Yes. "Alternate interior" angles are always interior. Angles that are not interior as well as alternate are never accurately described as "alternate interior" angles.
What are the conditions that guarantee parallelism?
Parallel lines are lines that are coplanar (lying on the same plane) and do not intersectwhen cut by a transversal,corresponding angles formed by line n are equal in measure,alternate interior angles are equal in measures,the measures of alternate exterior angles are equal,consecutive interior angles are supplementary,consecutive exterior angles are supplementary.
What is Two angles with a common side but not common interior points?
Those angles are called Alternate Exterior Angles. When two lines are crossed by another line (which is called the Transversal), the pairs of angles on opposite sides of the transversal but outside the two lines are called Alternate Exterior Angles.
What are two pairs of alternate interior angles?
They are 4 alternate interior angles.
What is the converse of parallel lines conjecture?
If two lines are cut by a transversal to form pairs of congruent corresponding angles, congruent alternate interior angles, or congruent alternate exterior angles, then the lines are parallel.
Interior and exterior angles of triangles?
Interior angles are 180 degrees Exterior angles are 360 degrees
