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GPS Geometry Inequalities in One Triangle Worksheet 5-5 Name ____KEY__________________ Use the Exterior Angle Inequality Theorem to list all of the angles that satisfy the stated condition. 1. m3 __>____ m8 3. m6 __<____ m9 2 4 7 1 3 List the angles and sides of each triangle in order from smallest to largest. 5. 6. Sides: RP , PQ, QR Angles: Q, R, P 7. 8. Sides: HG , FG , HF Angles: F , H , G 9. Sides: BC , AC , AB Angles: A, B, C 10. 5 6 8 9 List the angles of ABC from the smallest to the largest. 11. AB 17, BC 21, AC 18 12. AB 15, BC 17, AC 16 Angles: C , B, A List the sides of ABC from the longest to shortest. 13. mA 46 , mB 30 14. mC 101 , mB 70 Sides: AB, BC , AC Find the value of x and list the sides of ABC in order from shortest to longest if the angles have the indicated measures. (Hint: Find the angle measures first, then decide which sides are the longest.) x4 15. mA 9x 29 , mB 93 5x , mC 10x 2 mA 65 Sides: AB, BC , AC mB 73 mC 42 16. mA 9x 4 , mB 4x 16 , mC 68 2x 17. mA 12x 9 , mB 62 3x , mC 16x 2 x 5 mA 51 Sides: AC , BC , AB mB 47 mC 82 19. X = 7