This document discusses different types of angles and their relationships. It defines a ray, line, and line segment. When two lines intersect, they form four right angles. A transversal is a line that intersects two or more coplanar lines. When a transversal crosses parallel lines, it forms corresponding angles, alternate interior angles, and alternate exterior angles that are equal. Interior angles on the same side of the transversal are also congruent.

2. If we look around us, we will see angles everywhere.

3. •RAY: A part of a line, with one endpoint, that
continues without end in one direction
•LINE: A straight path extending in both directions
with no endpoints
•LINE SEGMENT: A part of a line that includes two
points, called endpoints, and all the points between them

5. Two lines that intersect to form four right angles

6. •Window Panes
•Streets Of Cities

7. 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

8. 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.

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

10. Interior angles on the same side of the transversal are also
referred to as consecutive interior angles or allied angles or
co-interior angles. Further, many a times, we simply use the
words alternate angles for alternate interior angles.

13. An exterior (or external)
angle is the angle between
one side of a triangle and
the extension of an
adjacent side.