Mastering Angles & Geometry: Parallel Lines And Transversals

Transversal

A line that intersects two or more coplanar lines at distinct points. (3.1)

A transversal is a line that intersects two or more other lines in a plane at distinct points. When a transversal intersects two lines in a plane, it creates eight angles, four interior angles and four exterior angles.

Interior angles – the angles that are between the two lines that are intersected by the transversal. The interior angles are formed by two intersected lines and the transversal. The interior angles can be either acute (less than 90 degrees), right (equal to 90 degrees), or obtuse (greater than 90 degrees).

Exterior angles – the angles that are formed by extending one of the intersected lines and the transversal. These angles are outside the two specified intersected lines. Each exterior angle is equal to the sum of the two opposite interior angles.

In general, when two parallel lines are intersected by a transversal, the corresponding angles are equal, the alternate interior angles are equal, the alternate exterior angles are equal, and the consecutive interior angles are supplementary (they add up to 180 degrees). These principles are important in geometry and are frequently used to solve problems involving parallel lines and transversals.

More Answers:
Remote Interior Angles: Theorem & Calculation For Polygon Geometry
Exterior Angles Of Polygons: Formula And Examples
Same Side Exterior Angles And Their Supplementary Properties In Parallel Lines Intersected By A Transversal

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