karatechopper
If ABJ=28, ABC "congruent to" DBJ, find JBC.



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karatechopper
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dw:1349137596618:dw

wio
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So we know:
DBJ + ABJ = 90
DBJ = ABC
DBC + ABC = 90
JBC + DBC + ABJ = 90

wio
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And last but not least:
ABJ = 28

wio
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Do you know how to solve a system of equations?

wio
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Actually it doesn't matter, we can solve this one angle at a time.

wio
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First you need to find DBJ... what is DBJ?

karatechopper
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I got 62 for DBJ

wio
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Which is also ABC

karatechopper
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Correct

wio
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Now we need to find DBC

karatechopper
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Well i know that
62=JBC+CBD now..
So then that also means
ABC=JBC+CBD
or!
DBJ= JBC+CBD

karatechopper
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Soo..this is where i get stuck at

wio
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DBC + ABC = 90

wio
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We use this fact to find CBD

wio
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DBC and CBD are the same