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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
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 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.
Why are alternate interior angles and altenate exterior angles both called alternate?
because they do'nt lie on the same side of the trasversal!!
What the interior and exterior angles of a 17 gon?
The exterior angles of a regular n-gon measure 360/n degrees each and each interior angle is supplementary to its corresponding exterior angle. Thus each exterior angle measures 360/17 degrees which is approximately equal to 21.176 degrees. Each interior angle will then measure 180 - 360/17 degrees which is approximately equal to 158.824 degrees.
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
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 type of an interior angle of a polygon and its adjacent exterior angle are complementary?
The interior angle of a polygon and its adjacent exterior angle can never be complementary.
An interior angle of a polygon and its adjacent exterior angle are complementary?
No, they are supplementary, not complementary.
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.
What types of angles are equal?
alternate interior and alternate exterior angles
Are alternate angles congruent?
Yes. Alternate interior and alternate exterior angles are congruent.
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.
Are alternate interior angles complementary?
Not NecessarilyAlternate interior angles are congruent, or equal. They have the same angle measure, while complementary means they add up to 90 degrees. Therefore, the only time alternate interior angles are complementary is when they are exactly 45 degrees.
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 the relationship between the interior and exterior angles in polygons?
An interior angle and the corresponding exterior angle add up to a straight angle. that is, they are supplementary.
What is the supplement of an exterior angle of a polygon is what angle?
The corresponding interior angle.
