PLEASE HELP MEDAL WILL BE DONATED Quadrilateral OPQR is inscribed in circle N, as shown below. Which of the following could be used to calculate the measure of ∠ROP? Circle N is shown with a quadrilateral OPQR inscribed inside it. Angle O is labeled x plus 16. Angle P is not labeled. Angle Q is labeled 6x minus 4. Angle R is labeled 2x plus 16. (6x − 4)° + (2x + 16)° = 360° (x + 16)° + (6x − 4)° = 360° (6x − 4)° + (2x + 16)° = 180° (x + 16)° + (6x − 4)° = 180°

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PLEASE HELP MEDAL WILL BE DONATED Quadrilateral OPQR is inscribed in circle N, as shown below. Which of the following could be used to calculate the measure of ∠ROP? Circle N is shown with a quadrilateral OPQR inscribed inside it. Angle O is labeled x plus 16. Angle P is not labeled. Angle Q is labeled 6x minus 4. Angle R is labeled 2x plus 16. (6x − 4)° + (2x + 16)° = 360° (x + 16)° + (6x − 4)° = 360° (6x − 4)° + (2x + 16)° = 180° (x + 16)° + (6x − 4)° = 180°

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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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In an inscribed quadrilateral, opposite angles are supplementary.
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but im confused
Look for two angles that are 1) opposite angles 2) that you are given an expression for their measures. Can you name them?
Q and O ?
Correct. Since opposite angles are supplementary, if you add their measures, the sum equals 180. That gives you an equation is only x, which you can then solve. Once you know the value of x, you can plug it in the expression for angle O and find its measure. Look in the 4 choices. Which equation is the sum of the measures of the opposite angles you have expressions for and then set to equal 180?
the second and the fourth
well only the 4th
tnx now i understand
Correct. Only the 4th choice.
ur da best :D

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