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Answer:

E. 38°

Explanation:

A rhombus has 360° interior angle.

Half of the other side has 180° angle.

Solve for x:

sum of interior angles = 180°

x + 14 + x + 14 + x + x = 180°

4x + 28° = 180°

4x = 180° - 28°

4x = 152°

x = 152°/4 = 38°

Sum of half interior angles=180°

So

  • x+x+14+x+x+14=180
  • 2x+2(x+14)=180
  • 2x+2x+28=180
  • 4x+28=180
  • 4x=152
  • x=38°

Option E

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