1. Warm Up:

2. Linear Pair I: Two angles that share a common vertex and together make a straight line (180°). M: What is the missing measure?

3. Vertical Angles I: Two angles that share a common vertex and are opposite of each other when two lines cross. Angles will always be congruent. M:

4. Acute Angle I: Has a measure between 0° and 90°. M: 67°

5. Right Angle I: An angle that has a measure equal to 90°. M:

6. Obtuse Angle I: An angle that has a measure between 90° and 180°. M: 140°

7. Complementary Angles I: A pair of angles whose sum of measures equals 90°. M: Find the missing measure. 58° x°

8. Supplementary Angles I: A pair of angles whose sum of measures equals 180°. M: Find the value of x. x x + 60

9. Angle Bisector I: A ray (or line segment) that divides an angle into two congruent angles. M:

10. Practice

11. One of two complementary angles is 16 degrees less than its complement. Find the measure of both angles. Two angles: x and x – 16 X = 53 X – 16 = 37

12. One of two supplementary angles is 98° greater than its supplement. Find the measure of both angles. Two Angles: x and x + 98 X = 41 X + 98 = 139

13. 5. One of two complementary angles is 57° greater than twice its complement. Find the measure of both angles. Two Angles: x and 2x + 57 X = 11 2x + 57 = 79

14. 6. One of two supplementary angles is 123° less than twice its supplement. Find the measure of both angles. Two angles: x and 2x – 123 X = 101 2x – 123 = 79

15. 7. Find all missing angle measures Given: m  1 = 90°, m  2 = 34°, and m  6 = 137° 90°34° 137° 90° 146° 137° 43°

16.  1 and  2 are complementary angles, state the numerical value of x. 8. m  1 = 2x, m  2 = 3x X = 18 9. m  1 = 30 + x, m  2 = 40 + x x = 10

17.  3 and  4 are supplementary angles, state the numerical value of y. 10. m  3 = 2y, m  4 = 3y – 15 y = 39 11. m  3 = 5m  4, m  4 = y y = 30