Alternate Exterior Angles Are Always Congruent

In this example these are two pairs of Alternate Exterior Angles. The correct answer is that alternate exterior angles are congruent. If two lines are cut by a transversal so the alternate exterior angles are congruent then the lines are parallel.

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Alternate exterior angles are always congruent. When the two lines intersected by the transversal are parallel corresponding angles are congruent alternate interior angles are congruent alternate exterior angles are congruent and consecutive interior angles become supplementary which means they have a sum of 180 degrees. Proving Alternate Interior Angles are Congruent the same The Alternate Interior Angles Theorem states that If two parallel straight lines are intersected by a third straight line transversal then the angles inside between the parallel lines on opposite sides of the transversal are congruent identical. Alternate Interior Angles Are Always Congruent True Or False.

Keeping this in consideration are alternate exterior angles complementary or supplementary. If alternate exterior angles are congruent then lines are parallel. Whenever we are talking about alternate angels we are talking about two angles which forms z letter given two parallel lines and a transversal passing the lines.

When two lines are crossed by another line called the Transversal. The Alternate Exterior Angles Theorem states that if a pair of parallel lines are cut by a transversal then the alternate exterior angles are congruent. One way to easily find the alternate exterior angles is that they are the vertical angles of the alternate interior angles.

At each intersection the corresponding angles lie at the same place. The only time alternate exterior angles are congruent to each other is when these angles are formed from parallel lines. Alternate exterior angles are on opposite sides of the transversal.

When two lines segments are crossed by another line segments which is called the Transversal the pairs of angles on opposite sides of the transversal which are outside the two lines are called Alternate Exterior Angles. So in the figure below if k l then. Alternate exterior angles are equal to one another.

If two lines are parallel to the same line then they are parallel to each other. Alternate Interior Angles Are Always Congruent. Alternate exterior angles are on the interior of two lines.