Define Alternate Interior Angles In Geometry

The transversal crosses through the two lines which are coplanar at separate points.

Define alternate interior angles in geometry. When the coplanar lines are cut by a transversal some angles are formed. D and e are alternate interior angles. Solved example on alternate interior angles.

Play with it below try dragging the points. If the two lines are parallel then the alternate interior angles are congruent. Because these lines are parallel the theorem tells us that the alternate interior angles are congruent.

So that means that angles 1 and 8 are. Each pair of these angles are inside the parallel lines and on opposite sides of the transversal. N 60 o implies m 60 o because m and n are alternate interior angles and so they are congruent.

Try this drag an orange dot at a or b. Alternate interior angles are the angles formed when a transversal intersects two coplanar lines. Notice that the two alternate interior angles shown are equal in measure if the lines pq and rs are parallel.

Those angles are known as interior or exterior angles. Opposite rays in geometry. Definition example.

N 60 o solve for n step 3. When two lines are crossed by another line the transversal a pair of angles on the outer side of those two lines but on opposite sides of the transversal are called alternate exterior angles. They lie on the inner side of the parallel lines but the opposite sides of the transversal.