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.

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:

And the value of the angles is:

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

figure c

step-by-step explanation:

hope this .