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anonymous

  • one year ago

Quadrilateral OPQR is inscribed inside a circle as shown below. What equation would be needed to solve for angle R? What is the measure of angle R? You must show all work and calculations to receive credit.

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    @Hero @jim_thompson5910 @perl

  3. jim_thompson5910
    • one year ago
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    hint: with any inscribed quadrilateral in a circle, the opposite angles always add to 180 degrees that means angle R + angle P = 180 (3y+8) + (y) = 180

  4. anonymous
    • one year ago
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    Okay, i see that but i don't quite understand what to do cause im really confused on how to do this :/

  5. jim_thompson5910
    • one year ago
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    you just have to solve 3y+8+y = 180 for y

  6. jim_thompson5910
    • one year ago
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    3y+8+y = 180 4y+8 = 180 ... Combine like terms. 4y+8-8 = 180-8 ... Subtract 8 from both sides. 4y+0 = 172 4y = 172 ... ... ... y = ???

  7. anonymous
    • one year ago
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    43?

  8. jim_thompson5910
    • one year ago
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    yep

  9. anonymous
    • one year ago
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    Yayy we got one(: now can you help me finish it ?

  10. anonymous
    • one year ago
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    @jim_thompson5910 or are we done with the problem ?

  11. jim_thompson5910
    • one year ago
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    now that you know the value of y, use it to compute angle R

  12. anonymous
    • one year ago
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    How do i do that .. i dont know how . Can you help me work through it ?

  13. jim_thompson5910
    • one year ago
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    what expression is shown for angle R

  14. anonymous
    • one year ago
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    the (3y +8) ?

  15. jim_thompson5910
    • one year ago
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    plug y = 43 into that and evaluate

  16. anonymous
    • one year ago
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    So (3 * 43 +8)?

  17. jim_thompson5910
    • one year ago
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    yes evaluate that

  18. anonymous
    • one year ago
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    54?

  19. jim_thompson5910
    • one year ago
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    no

  20. jim_thompson5910
    • one year ago
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    that's too small

  21. anonymous
    • one year ago
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    then im confused , once i do the (3*43+8) .. im lost what to do

  22. jim_thompson5910
    • one year ago
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    how did you get 54 ?

  23. anonymous
    • one year ago
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    Oh i missed calculated i meant the answer would be 137?

  24. jim_thompson5910
    • one year ago
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    yes 137 is your answer

  25. anonymous
    • one year ago
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    Thank you!! So are we done with this question then ?

  26. jim_thompson5910
    • one year ago
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    yes

  27. anonymous
    • one year ago
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    Thank you soo much for your help!!

  28. jim_thompson5910
    • one year ago
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    you're welcome

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