Respuesta :

Answer:

  • 105°; -7°; -3°; 12°; 17

Step-by-step explanation:

1. Exterior angle is the sum of two non-adjacent interior angles

  • 25° + 80° = 105°

2. Sum of angles = 180°

  • x + 59° + x + 51° + 84° = 180°
  • 2x + 194° = 180°
  • 2x = -14°
  • x = -7°

3. Same as above

  • 55° + x + 74° + 54° = 180°
  • x + 183° = 180°
  • x = 180° - 183°
  • x = -3°

4. Exterior angle as above:

  • 4x + 2° + 30° = 80°
  • 4x = 48°
  • x = 12°

5. Perimeter is the sum of side lengths

  • 8x - 4 + 9x + 4 + 4x + 17 = 374
  • 21x + 17 = 374
  • 21x = 357
  • x = 357/21
  • x = 17
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