2. Objective-To find missing angles using rules of geometry. Supplementary Angles- Angles whose sum is 180. a b

3. Find the value of x. x 30 x + 30 = 180 - 30 x = 150

4. Find the supplement of the given angle. 1) 40 2) 18 3) 153 4) 65 5) 89 6) 23 7) 131 8) 118 140 162 27 115 91 157 49 62

5. Write a variable equation and solve. Find an angle whose supplement is 30 less than twice the angle. x2x - 30 x + (2x - 30) = 180 3x - 30 = 180 +30 3x = 210 x = 70 70

6. Complementary Angles - Angles whose sum is 90. a b x 40 x+ 40 = 90 - 40 -40 x = 50

7. Find the complement of... 1) 20 2) 47 3) 100 4) the supplement of 150 70 43 No complement the complement of the supplement of 150 30the complement of= 60

8. Write a variable equation and solve. Find an angle whose complement is 20 more than three times the angle. x 3x + 20 x + 3x + 20 = 90 4x + 20 = 90 - 20 -20 4x = 70 4 x = 17.5

9. 180 Rule for Triangles - the sum of the interior angles of any triangle is always 180. a b c 40 80 x 40 + 80 + x = 180 120 + x = 180 x = 60

10. Find each angle below. y+14 y - 20 2y - 10 (y + 14) + (2y - 10) + (y - 20) = 180 4y - 16 = 180 +16 4y = 196 y = 49 y + 14 = 63 2y - 10 = 88 y - 20 = 29 180

11. Vertical Angles Theorem- the opposite angles of intersecting lines must be equal.

12. Vertical Angles Theorem- the opposite angles of intersecting lines must be equal.

13. Vertical Angles Theorem- the opposite angles of intersecting lines must be equal. Find the missing angles a, b and c. 25 a b c 155

14. Vertical Angles Theorem- the opposite angles of intersecting lines must be equal. Find the missing angles a, b and c. 25 a b c 155

15. Find the missing angle. 40132 x

16. Find the missing angle. 119 x 124