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rebecca1233

In an isosceles trapezoid, two angles are labeled as shown. What is the value of x?

  • one year ago
  • one year ago

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  1. rebecca1233
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    |dw:1360347206882:dw|

    • one year ago
  2. rebecca1233
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    please explain why also

    • one year ago
  3. rajathsbhat
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    do you know that those two angles add up to 180 degrees?

    • one year ago
  4. rebecca1233
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    what is the other angel one is 132

    • one year ago
  5. rajathsbhat
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    2x+10

    • one year ago
  6. rebecca1233
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    11 15 16 19 is the answer options

    • one year ago
  7. rebecca1233
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    how does that add up to 180

    • one year ago
  8. rebecca1233
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    so how do you solve it

    • one year ago
  9. rajathsbhat
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    here:|dw:1360348431488:dw| you know that B+C=180 right?

    • one year ago
  10. rebecca1233
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    yes

    • one year ago
  11. rebecca1233
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    so how do i figure out the answer how do i solve this problem.

    • one year ago
  12. rajathsbhat
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    and A=C. Because they are alternate angles. So replacing C with A in B+C=180, we get B+A=180. There, i just proved why those two angles should add up to 180. Do you understand upto here?

    • one year ago
  13. rebecca1233
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    yes

    • one year ago
  14. rebecca1233
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    so how do i solve that problem to get the answer

    • one year ago
  15. rajathsbhat
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    if you write down what we just proved, you get (2x+10) + 132 = 180. Can you solve for x now?

    • one year ago
  16. rebecca1233
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    hmm i think so subtract 132 from 180

    • one year ago
  17. rajathsbhat
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    yup.

    • one year ago
  18. rebecca1233
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    then what

    • one year ago
  19. rebecca1233
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    after i subtract i get 48

    • one year ago
  20. rebecca1233
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    (2x+10)=48

    • one year ago
  21. rajathsbhat
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    2x+10 = 48. Now?

    • one year ago
  22. rebecca1233
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    subtract 10 from 48 ?

    • one year ago
  23. rajathsbhat
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    yup

    • one year ago
  24. rebecca1233
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    then i get 38

    • one year ago
  25. rebecca1233
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    then divide by 2

    • one year ago
  26. rebecca1233
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    so 19

    • one year ago
  27. rajathsbhat
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    Yup :)

    • one year ago
  28. rebecca1233
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    can u help m with a diff problem ?

    • one year ago
  29. rajathsbhat
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    okay. Just one before i go to bed.

    • one year ago
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