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12 August, 14:12

A convex pentagon has the following measurements for its interior angles: (x-8), (3x-11), (x+8), (x), and (2x+7). Which of the following could be measurements for interior angles of the pentagon? Select all that apply.

A: 60

B: 68

C: 76

D: 108

E: 193

F: 540

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Answers (1)
  1. 12 August, 14:40
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    The correct answer isthe sum of all the internal angles of a convex pentagon is 540. Also, if the pentagon is regular, each of its internal angles measures 108 degrees. Therefore, the correct answers for this case would be:The value of x can be found as the sum: x + (x + 8) + (3x-11) + (x-8) + (2x + 7) = 540 resulting in x = 68. Then, (68 + 8) = 76; (3 * 68-11) = 193; (68-8) = 60; (2 * 68 + 7) = 143 and (x) = 68The correct answers are: B: 68, E: 193, C: 76, A: 60.
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