We have learnt about the lines and angles, a line segment have two end points and an angle is formed when lines or line segments meet.
If we extend the two end points in either direction endlessly, we get a line.
As we know angles are the corners are formed when two lines or line segments intersect at a point.
Complementary Angles
When the sum of the measures of two angles is 90°, the angles are called complementary angles.
Adjacent angles have a common vertex and a common arm but no common interior points.
A linear pair is a pair of adjacent angles whose non-common sides are opposite rays.
When two lines intersect, the vertically opposite angles so formed are equal.
When if there are two lines and those two lines l and m intersect if they have a point in common. This common point O is their point of intersection.
If a line that intersects two or more lines at distinct points is called a transversal.
If two parallel lines are cut by a transversal, each pair of corresponding angles are equal in measure.
If two parallel lines are cut by a transversal, each pair of alternate interior angles are equal.
If two parallel lines are cut by a transversal, then each pair of interior angles on the same side of the transversal are supplementary.
When a transversal cuts two lines, such that pairs of corresponding angles are equal, then the lines have to be parallel.
When a transversal cuts two lines, such that pairs of alternate interior angles are equal, the lines have to be parallel.
When a transversal cuts two lines, such that pairs of interior angles on the same side of the transversal are supplementary, the lines have to be parallel.
