anonymous
  • anonymous
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°
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
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mathstudent55
  • mathstudent55
In an inscribed quadrilateral, opposite angles are supplementary.
anonymous
  • anonymous
ok

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anonymous
  • anonymous
but im confused
mathstudent55
  • mathstudent55
Look for two angles that are 1) opposite angles 2) that you are given an expression for their measures. Can you name them?
anonymous
  • anonymous
Q and O ?
mathstudent55
  • mathstudent55
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?
anonymous
  • anonymous
the second and the fourth
anonymous
  • anonymous
well only the 4th
anonymous
  • anonymous
tnx now i understand
mathstudent55
  • mathstudent55
Correct. Only the 4th choice.
anonymous
  • anonymous
ur da best :D

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