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Triangle Envelope Activity Pre Algebra Geometry

geometry<br>angles<br>triangles<br>math 8<br>

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Triangle Envelope Activity Pre Algebra Geometry

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  1. Good Morning! 01/19

  2. Name- __________________________ Date- ___________________________ Warm-Up Sum of the Interior Angles of a Triangle: = _______ Directions: Solve for x. Show all your work. A side of the triangle below has been extended to form an exterior angle of 135°. Find the value of x. 3. 1. 2. 4.

  3. 2.

  4. 3. A side of the triangle below has been extended to form an exterior angle of 135°. Find the value of x.

  5. 4. 5x + 10 + 58 = 11x + 2 5x + 68 = 11x + 2 -5x -5x 68 = 6x + 2 -2-2 66x = 6x 6 6 11= x

  6. Partner Names: Work: Answer: Partner Names: Work: Answer: Partner Names: Work: Answer: Partner Names: Work: Answer:

  7. A. What is the unknown angle measure?

  8. A. 65 + 57 +x=180 122+ x = 180 -122 -122 x= 58 What is the unknown angle measure?

  9. B. What is the unknown angle measure?

  10. B. 40 + 90 +x=180 130+ x = 180 -130 -130 x= 50 What is the unknown angle measure?

  11. C. What is the unknown angle measure?

  12. C. 85+50 +x=180 135+ x = 180 -135 -135 x= 45 What is the unknown angle measure?

  13. D. What is the unknown angle measure?

  14. 100 +35+x = 180 135+ x = 180 -135 -135 x= 45 180=45+X -45 -45 135=x D. What is the unknown angle measure? 35

  15. F. What is the unknown angle measure?

  16. F. What is the unknown angle measure? 30+20 +x=180 50 + x = 180 -50 -50 X = 30 vertical angles

  17. G. What is the unknown angle measure?

  18. G. 25 What is the unknown angle measure? 155 + x = 180 -155 -155 X = 25 25 + 60= x 85 = ?

  19. H. What is the value of x? What is the unknown angle measure?

  20. 8x + 2 +70 + 60= 180 8x +132 = 180 -132 -132 8x = 48 8 8 X = 6 8x +2 8(6) +2 48 +2 50 H. 50 What is the value of x? What is the unknown angle measure?

  21. I. What is the value of x? What is the unknown angle measure?

  22. I. 55 + x +74 + 54=180 183 +x = 180 -183 -183 x= -3 x +74 -3 +74 71 What is the value of x? What is the unknown angle measure?

  23. J. What is the value of x? What is the unknown angle measure?

  24. J. 64 +27=97+x 91=97 +x -97 -97 -6= x What is the value of x? What is the unknown angle measure? 97 +(-6)= measurement of missing angle 91

  25. K. What is the value of x? What are the unknown angle measures?

  26. K. X +59 + 84 +x +51=180 2x + 194=180 -194 -194 2x = 14 2 2 x=-7 X + 59 -7 + 59 52 What is the value of x? What are the unknown angle measures? X + 51 -7 +51 44

  27. L. What is the unknown angle measure?

  28. 50 +x = 120 -50 -50 X = 70 L. 70 120+x = 180 -120 -120 X = 60 What is the unknown angle measure? 60 60 + 50 + X = 180 110 +X = 180 -110 -110 X = 70

  29. M. What is the unknown angle measure?

  30. 50+x =115 -50 -50 X =65 M. What is the unknown angle measure? 65

  31. N. What is the unknown angle measure?

  32. N. 70 +50 = x 120 = x What is the unknown angle measure?

  33. O. What is the value of x? What are the unknown angle measures?

  34. 30 + 4x +2 =8 + 6x 32 + 4x = 8 + 6x -4x -4x 32 = 8 + 2x -8 -8 24 = 2x 2 2 12 = x 80 O. 8 + 6x 8 + 6(12) 8 + 72 80 What is the value of x? What are the unknown angle measures? 50 4x +2 4(12) +2 48 +2 50

  35. P. What is the value of x? What are the unknown angle measures?

  36. 5x +10 + 58 = 11x +2 5x + 68 = 11x + 2 -5x -5x 68 =6x + 2 -2 -2 66 = 6x 6 6 11 = x P. 65 11x + 2 11(11) + 2 121 + 2 123 What is the value of x? What are the unknown angle measures? 123 5x + 10 5(11) +10 55 + 10 65

  37. Q. What is the value of x? What are the unknown angle measures?

  38. 120= 15x +5 + 22x +4 120= 37x +9 -9 -9 111 = 37x 37 37 X= 3 Q. 15x + 5 15(3) + 5 45 + 5 50 50 What is the value of x? What are the unknown angle measures? 22x +4 22(3) + 4 66 +4 70 70

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