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180°
- If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary, i.e. they add up to 180°.
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When any two parallel lines are intersected by a line (known as the transversal), the angles that are subsequently formed, have a relationship. The various pairs of angles that are formed on this intersection are Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles and Consecutive Interior Angles.
If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary, i.e. they add up to 180°. ∠3 + ∠5 = 180° ∠4 + ∠6 = 180°
Aug 18, 2023 · When two parallel lines are intersected by a transversal, several important angle relationships and properties emerge. Let’s delve into these properties in detail: Corresponding Angles. Definition: Angles that are situated in the same position at each intersection where the transversal crosses the parallel lines.
Pairs of Angles. When parallel lines get crossed by another line (which is called a Transversal), you can see that many angles are the same, as in this example: These angles can be made into pairs of angles which have special names.
Answer: When a transversal cuts (or intersects) parallel lines several pairs of congruent and supplementary angles are formed.
Jun 22, 2023 · If any pair of corresponding angles formed by a transversal with the two lines are equal, then the given lines are parallel lines. If any pair of alternate interior angles formed by a transversal with the two lines are equal, then the given lines are parallel lines.
When cut by a transversal, parallel lines form a pair of angles. Hence, corresponding angles are equal, alternate interior angles are equal, alternate exterior angles are equal, vertical angles are equal and sum of interior angles on the same side of transversal are supplementary.
