SOLUTION: In kite ABCD,measure BAC=35 degrees and measure BCD=44 degrees. 1.Find measure ABD 2.Find measure DCA 3.Find measure ABC

Algebra ->  Length-and-distance -> SOLUTION: In kite ABCD,measure BAC=35 degrees and measure BCD=44 degrees. 1.Find measure ABD 2.Find measure DCA 3.Find measure ABC      Log On


   

Question 181678: In kite ABCD,measure BAC=35 degrees and measure BCD=44 degrees.
1.Find measure ABD
2.Find measure DCA
3.Find measure ABC
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
If I have this drawn right then
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since we know that ABC and ADC are equal lets take DBA(70)+BCD(44) and subtract that from 360 degrees 360-114=246
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we know together that ABC and ADC =246 and that they are equal so we only need to divide by 2 to find there measurements
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246/2=123
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ABC=highlight%28123%29degrees
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ABD is 1/2 of ABC
:
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ABD=highlight%2861.5%29degrees....(123/2)
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now since BCD is 44 degrees and is made up of BCA and DCA which are equal
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then DCA=44/2
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DCA=highlight%2822%29degrees