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



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AriPotta
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dw:1352609221953:dw

AriPotta
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2(2x + 22) = 8x

Hbadgerdontcare
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hhow would u figure all that out mathematically can you show me how to do it

AriPotta
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you would distribute the 2 into the parentheses first

Hbadgerdontcare
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start from the top

Hbadgerdontcare
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like the beginning

AriPotta
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dw:1352609494307:dw
this angle = 8x

Hbadgerdontcare
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i need to be able to type how i got everything like a explanation

AriPotta
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dw:1352609533315:dw
line BD is an angle bisector, so both of those angles would be congruent

AriPotta
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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

Hbadgerdontcare
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thats the answer?

AriPotta
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no

AriPotta
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what do you get after distributing the 2?

Hbadgerdontcare
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ummmm

AriPotta
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you know about the distributive property, yes?

Hbadgerdontcare
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yes but i suck at it

AriPotta
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all you do is multiply though :/

Hbadgerdontcare
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so 2 * 2x = 4x + 44 = 8x?

AriPotta
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after distributing, you should get 4x + 44 = 8x, yes.

AriPotta
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now what do you do?

Hbadgerdontcare
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so then its 44 / 4 = 11
x = 11?

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

Hbadgerdontcare
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so whats the answer? whats DBC?

AriPotta
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angle DBC = 2x + 22, so just substitute 11 for x in that equation to get your answer

Hbadgerdontcare
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oh thank you so much!!!

AriPotta
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no problem :)

Hbadgerdontcare
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so DBC is 44?

AriPotta
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yes