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The goal is to find angle ADE. 

I've tried a couple things. 

EC = x, and EA = 3x, CD = 2y, and DB = 3y, and tried to find y and x using pythagorean theorum and law of cosines, but that didn't go very well. 

I also tried setting that spot as O. 

AOB = 180 - 30 - 30 = 120

EOD = 120 from vertical angles

DOB and EOA = 60, which made ODB = 110, and OEA as 100 degrees. 

However, I couldn't figure it out from here. 

 

Any suggestions or hints?

 

Thank you so much for your time,

catmg :))

 

=^._.^= 

 May 4, 2021
 #1
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To calculate this angle, I used trig, Pythagoras's theorem, and the law of cosines. laugh

 

Angle ADE = 40 degrees

 May 4, 2021
edited by Guest  May 4, 2021
 #3
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Thank you for answering. :))

I understand now. 

 

 

 

=^._.^=

catmg  May 4, 2021
 #2
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I graphed it to scale and also got 40 degrees.

 

https://www.geogebra.org/classic/m2kaudea

 May 4, 2021
 #4
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Thank you for creating the graph, it helped me visualize the angles and line segment ratios better than my messy drawing. :))

 

=^._.^=

catmg  May 4, 2021

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