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rebecca1233

  • 3 years ago

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

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  1. rebecca1233
    • 3 years ago
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    |dw:1360347206882:dw|

  2. rebecca1233
    • 3 years ago
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    please explain why also

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

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

  5. rajathsbhat
    • 3 years ago
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    2x+10

  6. rebecca1233
    • 3 years ago
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    11 15 16 19 is the answer options

  7. rebecca1233
    • 3 years ago
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    how does that add up to 180

  8. rebecca1233
    • 3 years ago
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    so how do you solve it

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

  10. rebecca1233
    • 3 years ago
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    yes

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

  12. rajathsbhat
    • 3 years ago
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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?

  13. rebecca1233
    • 3 years ago
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    yes

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

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

  16. rebecca1233
    • 3 years ago
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    hmm i think so subtract 132 from 180

  17. rajathsbhat
    • 3 years ago
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    yup.

  18. rebecca1233
    • 3 years ago
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    then what

  19. rebecca1233
    • 3 years ago
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    after i subtract i get 48

  20. rebecca1233
    • 3 years ago
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    (2x+10)=48

  21. rajathsbhat
    • 3 years ago
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    2x+10 = 48. Now?

  22. rebecca1233
    • 3 years ago
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    subtract 10 from 48 ?

  23. rajathsbhat
    • 3 years ago
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    yup

  24. rebecca1233
    • 3 years ago
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    then i get 38

  25. rebecca1233
    • 3 years ago
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    then divide by 2

  26. rebecca1233
    • 3 years ago
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    so 19

  27. rajathsbhat
    • 3 years ago
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    Yup :)

  28. rebecca1233
    • 3 years ago
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    can u help m with a diff problem ?

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

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