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anonymous

  • one year ago

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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  1. anonymous
    • one year ago
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  2. mathstudent55
    • one year ago
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    In an inscribed quadrilateral, opposite angles are supplementary.

  3. anonymous
    • one year ago
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    ok

  4. anonymous
    • one year ago
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    but im confused

  5. mathstudent55
    • one year ago
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    Look for two angles that are 1) opposite angles 2) that you are given an expression for their measures. Can you name them?

  6. anonymous
    • one year ago
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    Q and O ?

  7. mathstudent55
    • one year ago
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    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?

  8. anonymous
    • one year ago
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    the second and the fourth

  9. anonymous
    • one year ago
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    well only the 4th

  10. anonymous
    • one year ago
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    tnx now i understand

  11. mathstudent55
    • one year ago
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    Correct. Only the 4th choice.

  12. anonymous
    • one year ago
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    ur da best :D

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