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. #23. ~. Name :. Period:. For questions #1 – 5, fill in the missing information for z (30˚, 60˚, 45˚, x, 2x, x , x ). z. z. 4. 5. 2. 3. 60˚. 1. 60˚. z. 30˚. 45˚. z. z.
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. #23 . . ~ . Name: Period: For questions #1 – 5, fill in the missing information for z (30˚, 60˚, 45˚, x, 2x, x , x ). z z 4. 5. 2. 3. 60˚ 1. 60˚ z 30˚ 45˚ z z For questions #6 – 10, find the exact length of the missing sides, using the properties of special right triangles. 6. A 7. A 60˚ 2 30˚ B C B C BC = AB = A 8. 9. A 9 45˚ 45˚ B C C B 4 AB = AB = 10. 13 in x 5in x =
π . #23b . . . For questions 11 – 15, fill in the missing side lengths or angles. D B 11. 12. A E 30° C BC=_______ DE=_______ F J 13. 14. X Y 60° Z L K JK=_______ 15 =_______ For questions #15-18, simplify the following expressions. 15. If , then = ________ 16. If , then = ________ 17. If , then = ________ 18. If , then = ________ 19. Which special right triangle could be used to solve a question with a square? ___ ___ ___