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Answer :

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Answer:

#1

  • 62°+ m∠1 + m∠2 = 180°  (straight angle)
  • m∠1 + m∠2 = 118°
  • 2x + 8 + 3x = 118
  • 5x = 110
  • x = 22
  • m∠1 = 2*22 + 8 = 52°
  • m∠2 = 3*22 = 66°
  • Correct choice is B

#2

Side of the square:

  • a = 2*12 = 24 ft

Area of the square:

  • A = a² = 24² = 576 ft²

Radius of each circle:

  • r = 12/2 = 6 ft

Area of each circle:

  • A = πr² = 3.14*6² = 113.04 ft²

Area of all circles:

  • 113.04*4 = 452.16 ft²

Area of shaded region:

  • 576 - 452.16 = 123.84 ft²
  • Correct choice is B

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