Which of the following pairs of angles are alternate exterior angles if the two lines cut by the transversal are parallel?
A and F
A and E
E and F
If angle E measures 60 degrees, what is the measure of angle B, if the two lines are parallel?
B. Can't determine from information
Do alternate exterior angles have to be congruent? No they are congruent only when the lines being crossed are parallel.
Common Core Standard G.CO.9
Keywords: congruent angles, lines and angles,transversal,high school math
1. Alternate Exterior angles are located on opposite sides of the transversal, and are diagonal from one another.
2. They are outside the two lines. ( Outside the bun) In order to help visualize the difference between exterior and interior angles I think of a hamburger. See the picture below.
3. Alternate exterior angles are congruent. (equal angle measure) when the lines crossed by the transversal are parallel.
Alternate Exterior angles in real life
Check out these examples of alternate exterior angles in real life. Once you see these examples you will start to notice other examples all around you.
Common Core Standard G.CO.11 Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.