Question

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.

Answer 1

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