1. Types of Angles

2. Lines a and b are parallel. They are cut by a transversal
Lines a and b are parallel. They are cut by a transversal. This creates 8 different angles.
Draw this picture on your paper. Be sure to label the angles correctly.

3. Angles 3,4,5, and 6 are interior angles,
because they are inside the parallel lines.
Angles 1,2,7, and 8 are exterior angles,
because they are outside the parallel lines.

4. Corresponding angles are congruent.
Corresponding angles – angles that have the same position on two different parallel lines cut by a transversal
Corresponding angles are congruent.
1 and and and and 7

5. Alternate exterior angles are congruent.
Alternate exterior angles – nonadjacent exterior angles found on opposite sides of the transversal
Alternate exterior angles are congruent.
1 and and 8

6. Alternate interior angles are congruent.
Alternate interior angles – nonadjacent interior angles found on opposite sides of the transversal
Alternate interior angles are congruent.
4 and and 5

7. Supplementary angles – two angles whose sum is 180
1 and and and and 7
1 and and and and 8

8. Complimentary angles – angles whose sum is 90b
Complimentary angles – angles whose sum is 90
ma + mb = 90

9. Vertical angles are congruent.
Vertical angles – two pairs of opposite angles formed by intersecting lines
Vertical angles are congruent.
1 and and and and 8

10. If 4 = 50, find the measure of each of the other angles
If 4 = 50, find the measure of each of the other angles. Give a reason for each answer.

11. 124 x
Find the value of x.

12. In the figure, m1 = 80, find the measure of the other 3 angles.
Explain your reasoning.

13. Find m4 if m2 = 80. Explain your reasoning.

14. Find the measure of each angle.
b = 2x + 17
a = 5x – 40