Respuesta :

Answer:

Q 1

Sum of interior angles of a pentagon:

  • 4x + 60 = 180(5 - 2)
  • 4x + 60 = 540
  • 4x = 480
  • x = 120

Q 6

Midsegment is half of the sum of the bases:

  • (2n - 2 + 4n + 6)/2 = n + 12
  • (6n + 4)/2 = n + 12
  • 3n + 2 = n + 12
  • 2n = 10
  • n = 5

Midsegment is:

  • 5 + 12 = 17

Correct choice is D

Q 3

  • m∠1 = 90 as diagonals are perpendicular
  • m∠2 = 41 as alternate interior angles

∠3 is complementary with ∠2:

  • m∠3 = 90 - 41 = 49

None of the choices is correct

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