CLASS-6
TYPES OF ANGLES FORMED BY PARALLEL LINES CUT BY TRANSVERSAL

TYPES OF ANGLES FORMED BY PARALLEL LINES CUT BY TRANSVERSAL -

When a pair of parallel lines are intersected by a transversal (a line that crosses both parallel lines), various angles are formed. The most common types of angles formed by parallel lines and a transversal include:-

(1) Corresponding Angles:-

  • Corresponding angles are located in matching positions on the same side of the transversal.
  • They are congruent (equal) when the lines are parallel.
Geometry

(2) Alternate Interior Angles:-

  • Alternate interior angles are located between the parallel lines on opposite sides of the transversal.
  • They are congruent when the lines are parallel.

(3) Alternate Exterior Angles:-

  • Alternate exterior angles are located outside the parallel lines on opposite sides of the transversal.
  • They are congruent when the lines are parallel.
Geometry

(4) Consecutive Interior Angles (Same-Side Interior Angles):-

  • Consecutive interior angles are on the same side of the transversal and inside the parallel lines.
  • They are supplementary, meaning their angles add up to 180 degrees when the lines are parallel.

(5) Vertical Angles:-

  • Vertical angles are opposite each other when two lines intersect.
  • In the case of parallel lines and a transversal, vertical angles are congruent.
Geometry

(6) Linear Pair:- A linear pair is formed by two adjacent angles whose measures add up to 180 degrees. Consecutive interior angles are an example of linear pairs.

Understanding these angle relationships is fundamental in geometry and helps solve problems involving parallel lines and transversals. These properties are often used in proofs and geometric reasoning.