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anonymous

  • one year ago

Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle Q? You must show all work and calculations to receive credit. Circle N is shown with an inscribed quadrilateral labeled OPQR. O is labeled 2x degrees. P is labeled y degrees. Q is labeled 2x plus 4 degrees. R is labeled 3y plus 8 degrees.

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    opposite pairs of angles of an inscribed quadrilateral add to 180° O + Q = 180° 2x + 2x + 4 = 180°

  3. anonymous
    • one year ago
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    okay is that all?

  4. anonymous
    • one year ago
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    solve for x then substitute into 2x + 4 to get Q

  5. anonymous
    • one year ago
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    i dont know how to find x

  6. anonymous
    • one year ago
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    start by combining like terms on the left. What's 2x + 2x?

  7. anonymous
    • one year ago
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    well i do but where do i need to find the x. i mean in which equation?

  8. anonymous
    • one year ago
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    4x

  9. anonymous
    • one year ago
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    2x + 2x + 4 = 180

  10. anonymous
    • one year ago
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    ^ that's the equation you need to solve for x

  11. anonymous
    • one year ago
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    After combining you have 4x + 4 = 180 Subtract 4 from both sides

  12. anonymous
    • one year ago
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    left withx

  13. anonymous
    • one year ago
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    on the right side left with 174 and on the left we have x

  14. anonymous
    • one year ago
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    not it was 176

  15. anonymous
    • one year ago
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    sorry

  16. anonymous
    • one year ago
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    so 4x = 176 divide by 4

  17. anonymous
    • one year ago
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    okay 4x minus 4 is x 180 minus 4 is 176

  18. anonymous
    • one year ago
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    it is 44

  19. anonymous
    • one year ago
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    right. So now we can find Q. Q = 2x + 4, so plug in 44 for x to get Q = 2(44) + 4

  20. anonymous
    • one year ago
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    92

  21. anonymous
    • one year ago
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    that's the answer

  22. anonymous
    • one year ago
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    thank you

  23. anonymous
    • one year ago
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    you're welcome

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