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The figure below is from a quilting pattern. The indicated angles are Supplementary. What is the news he or N and the two angles; 8n-16 and 6n.

The figure below is from a quilting pattern The indicated angles are Supplementary What is the news he or N and the two angles 8n16 and 6n class=

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Answer:

  • The value of N is 8

  • The value of the angles is 48º

Explanation:

The two indicated angles are supplementary because they could be drawn as two interior angles on the same side of two parallel sides cut by a transversal.

Thus, those measure of those two angles add up 180º, which lets you to write an equation and solve for N:

  • 8N - 16 = 6N
  • 8N - 6N = 16
  • 2N = 16
  • N = 16 / 2
  • N = 8

And the value of the angles is:

  • 8N - 16 = 8(8) - 16 = 48, or
  • 6N = 6(8) = 48

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