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Math Help - Work with Cirlces

  1. #1
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    Work with Cirlces

    Hi I need help with the following questions. Please, let me know if the solutions I have done are correct or not. Thanks
    Attached Thumbnails Attached Thumbnails Work with Cirlces-q-1.jpg   Work with Cirlces-q2.jpg   Work with Cirlces-q3.jpg  
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  2. #2
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    Re: Work with Cirlces

    Q 1. angle BAC will be equal to angle BDC. We know that angles made by a chord in a segment are equal. Hence angle BAC = 40 dgree
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  3. #3
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    Re: Work with Cirlces

    Q.2. Use the theorem: Angles by a chord in a segment are equal.
    Thus angle ABC = angle ADC = 51 degree
    Angle D = 79 degree As you have rightly found.
    Thus angle ADB = 28 degree
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  4. #4
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    Re: Work with Cirlces

    Q 3 . You are on the right line. angle AOB = angle BOC = 35 degree. Thus angle AOC = 70 degree
    Hence reflex angle AOC = 360 - 70 = 290 degree
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