Answer:
- 1) x = 19
- 2) AB = 10.4, CX = 20.9
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Question 1
Use angle addition postulate, set up equation and solve for x:
- 3x + 7 + 90 + x + 7 = 180
- 4x + 104 = 180
- 4x = 180 - 104
- 4x = 76
- x = 76/4
- x = 19
Question 2
Use segment addition postulate, set up equation and solve for x:
- 2x + 3 + 21 + 7X - 5 = 11x + 11.6
- 9x + 19 = 11x + 11.6
- 11x - 9x = 19 - 11.6
- 2x = 7.4
- x = 7.4/2
- x = 3.7
Find AB:
- 2*3.7 + 3 = 7.4 + 3 = 10.4
Find CX:
- 7*3.7 - 5 = 25.9 - 5 = 20.9