This document defines and provides examples of different types of angles and lines. It discusses intersecting and non-intersecting lines, reflex angles, adjacent angles, linear pairs of angles, vertically opposite angles, parallel lines cut by a transversal, corresponding angles, alternate interior angles, alternate exterior angles, and interior angles on the same side of a transversal. The key points are that non-intersecting lines never cross and remain the same distance apart, a reflex angle is more than 180 degrees but less than 360 degrees, and angles related to parallel lines cut by a transversal are either equal or have their sums equal 180 degrees.

1. Lines And Angles
By- Aditya Khurana

2. Intersecting Lines And Non
Intersecting Lines
Intersecting Lines : Lines that cross each other.
Non Intersecting lines : Lines that never cross and are always the
same distance apart

3. Examples Of Non Intersecting Lines
• Hardwood Floor
• Opposite sides of windows, desks, etc.
• Parking slots in parking lot
• Parallel Parking

4. Reflex Angle
A Reflex Angle is more than 180° but less than 360°

5. Adjacent Angles
In geometry, adjacent angles are angles that have a common ray coming
out of the vertex going between two other rays.

6. Linear Pair Of Angles
A pair of adjacent angles formed by intersecting lines.
Linear pairs of angles are supplementary.

7. Vertically opposite Angle
In geometry, a pair of angles is said to be vertically opposite, if the angles are formed
from two intersecting lines and the angles are not adjacent. They all share a vertex.
Such angles are equal in measure .

8. Parallel Lines And Transversal
Transversal :- A transversal, or a line that
intersects two or more coplanar lines, each
at a different point, is a very useful line in
geometry. Transversals tell us a great deal
about angles.
Parallel Lines :- Parallel lines remain the same distance apart over their entire
length. No matter how far you extend them, they will never meet.
•Corresponding Angles
•Alternate Interior Angles
•Alternate Exterior Angles
•Interior Angles On The Same Side Of the transversal

9. Corresponding Angles
The angles that occupy the same relative position at each
intersection where a straight line crosses two others. If the two
lines are parallel, the corresponding angles are equal.

10. Alternate Interior Angle
When two parallel lines are cut by a transversal, the two pairs of
angles on opposite sides of the transversal, inside the parallel lines,
and the angles in each pair are congruent are called Alternate
Interior Angle.

11. Alternate Exterior Angle
When two parallel lines are cut by a transversal, the two pairs of
angles on opposite sides of the transversal and outside the parallel
lines, the angles in each pair are congruent are called Alternate
Exterior Angles.

12. Interior Angles On The Same Side Of
the transversal
Interior angles on the same side of the transversal are also known as co-
interior angles. Sum of co-interior angles is always equal to 180 degree.

16. Thanks