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Thread: Angles

  1. #1
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    Angles

    ABC is a triangle.
    |DK|=|DC|
    angle ABD=angle FAC=20 degrees
    angle DBC=angle ACB=40 degrees

    Find Angle BCK.
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  2. #2
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    Re: Angles

    Any work?
    Last edited by SlipEternal; Jun 1st 2017 at 06:20 AM.
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  3. #3
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    Re: Angles

    My work:
    Angle BDC=100 degrees
    I connected B to K so DBK is isosceles.
    Triangle DKC is isosceles and angle DKC=40+x
    Angle AFC=120 degrees
    Angle BKC=135 degrees.
    I took angle CBK as y so
    x+y=50 degrees.
    Angle ADB=80 degrees.
    Triangle AEDis isosceles.
    ABD is equialteral.
    ABD is isosceles
    Last edited by kastamonu; Jun 1st 2017 at 06:17 AM.
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  4. #4
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    Re: Angles

    I did.
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  5. #5
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    Re: Angles

    I first wrote the question after that posted my work.
    Last edited by kastamonu; Jun 1st 2017 at 06:19 AM.
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  6. #6
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    Re: Angles

    Quote Originally Posted by kastamonu View Post
    I first wrote the question after that posted my work.
    Next time, post BOTH at same time...
    (else we'll have you arrested and jailed)
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  7. #7
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    Re: Angles

    OK.
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  8. #8
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    Re: Angles

    If I can find angel DFA the work will be done. I need help. According to the book answer is 35.
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  9. #9
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    Re: Angles

    ABF equilateral
    BF = AB

    ABD isosceles
    BD = AB

    Therefore BD = BF

    BDF isosceles
    angle BDF = 70 degrees
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  10. #10
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    Re: Angles

    Yes you are right. I was looking for a circle. You saved my time. Many Thanks. I will send another one.
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