TRANSVERSAL:

A line which intersects two distinct lines in a plane in exactly two points, is called  transversal.

A line which intersects two or more given  lines in a plane at different  points is called a transversal to the given lines.

When a transversal cuts two lines, 8 angles are formed.

This is because at each intersection 4 angles are formed.

Corresponding Angles:

Two angles are said to be a pair of corresponding angles.

If       i.          They are on the same side of the transversal

ii.          One is an interior angle and the other is an exterior angle

iii.          They are not adjacent angles.

(1,5),  (2, 6) ;   (4, 8)    ;   (3, 7 )

Alternate Interior Angles:

Two angles are said to be a pair of alternate interior  angles.

If      i)            Both are interior angles

They are on either side of the transversal.

Alternate Exterior Angles:

Two angles are said to be a pair of alternate exterior  angles.  If   i)  Both are exterior angles

They are on either side of the transversal.

Co interior angles:-

Two angles are interior and one side of the transversal

Co exterior angles:-

Two angles are exterior and one side of the transversal

When a transversal intersects two parallel lines, then

• Pairs of interior alternate angles are equal     .
• Pairs of exterior alternate angles are equal
• Pairs of corresponding  angles are equal
• The sum of the interior or exterior angles on the same  side of the transversal is
•
• Pairs of  co-interior angles are supplementary.

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