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Hbadgerdontcare

  • 3 years ago

__ BD bisects angle ABC. m angle ABC = 8x. M angle ABD = 2x+22. Find m angle DBC. Please show work

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  1. AriPotta
    • 3 years ago
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    |dw:1352609221953:dw|

  2. AriPotta
    • 3 years ago
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    2(2x + 22) = 8x

  3. Hbadgerdontcare
    • 3 years ago
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    hhow would u figure all that out mathematically can you show me how to do it

  4. AriPotta
    • 3 years ago
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    you would distribute the 2 into the parentheses first

  5. Hbadgerdontcare
    • 3 years ago
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    start from the top

  6. Hbadgerdontcare
    • 3 years ago
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    like the beginning

  7. AriPotta
    • 3 years ago
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    |dw:1352609494307:dw| this angle = 8x

  8. Hbadgerdontcare
    • 3 years ago
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    i need to be able to type how i got everything like a explanation

  9. AriPotta
    • 3 years ago
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    |dw:1352609533315:dw| line BD is an angle bisector, so both of those angles would be congruent

  10. AriPotta
    • 3 years ago
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    since angles ABD and DBC are adjacent angles that make up angle ABC, we can say that 2(2x + 22) = 8x

  11. Hbadgerdontcare
    • 3 years ago
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    thats the answer?

  12. AriPotta
    • 3 years ago
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    no

  13. AriPotta
    • 3 years ago
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    what do you get after distributing the 2?

  14. Hbadgerdontcare
    • 3 years ago
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    ummmm

  15. AriPotta
    • 3 years ago
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    you know about the distributive property, yes?

  16. Hbadgerdontcare
    • 3 years ago
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    yes but i suck at it

  17. AriPotta
    • 3 years ago
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    all you do is multiply though :/

  18. Hbadgerdontcare
    • 3 years ago
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    so 2 * 2x = 4x + 44 = 8x?

  19. AriPotta
    • 3 years ago
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    after distributing, you should get 4x + 44 = 8x, yes.

  20. AriPotta
    • 3 years ago
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    now what do you do?

  21. Hbadgerdontcare
    • 3 years ago
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    so then its 44 / 4 = 11 x = 11?

  22. AriPotta
    • 3 years ago
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    you didn't show that you subtracted 4x from 8x, but yes. x = 11 :)

  23. Hbadgerdontcare
    • 3 years ago
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    so whats the answer? whats DBC?

  24. AriPotta
    • 3 years ago
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    angle DBC = 2x + 22, so just substitute 11 for x in that equation to get your answer

  25. Hbadgerdontcare
    • 3 years ago
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    oh thank you so much!!!

  26. AriPotta
    • 3 years ago
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    no problem :)

  27. Hbadgerdontcare
    • 3 years ago
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    so DBC is 44?

  28. AriPotta
    • 3 years ago
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    yes

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