consecutive exterior angles

In the previous section we have discussed about area of equilateral triangle calculator and In today’s session we are going to discuss about consecutive exterior angles, When there are two parallel lines and when a line (known as transversal) passes through it forming two sections. The area which is in between the two parallel lines is its interior area where interior angles exist, and which is outside the two parallel lines is the exterior area where exterior angles took place. There in these lines three types of angles are formed these are alternate interior angle, alternate exterior angles and corresponding angles. consecutive angles means which occur one after the other. Consecutive exterior angles are those angles which are present on the opposite sides of transversal and also on the exterior sides of the parallel lines.

The consecutive and exterior angle theorem states that if the transversal passes through the two parallel lines then any two exterior angles are congruent.
The converse of this is if the two alternate exterior angles are congruent and when the exterior angle passes through the two lines these two lines will be parallel. As we have noticed here that both the above statement proves to be true therefore the alternate exterior angle theorem is biconditional. So the new theorem form will be when a transversal passes through two lines are parallel if and only if any two exterior angles are congruent.

 
 here in the above figure angle 1 and 8 are the alternate exterior angle and angle 4 and 6 are the alternate exterior angle. angle  2 and 7 and angle 3 and 5 are the alternate interior angles. angle 1 and 3 and angle 2 and 4 are the corresponding angles and also angle 5 and 8 and 6 and 7 are the corresponding angles.
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