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anonymous

  • one year ago

Quadrilateral BCDE is inscribed inside a circle as shown below. Write a proof showing that angles C and E are supplementary.

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    @Mertsj

  3. anonymous
    • one year ago
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    @Zale101

  4. anonymous
    • one year ago
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    please help me

  5. anonymous
    • one year ago
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    @animeisbae2299

  6. Zale101
    • one year ago
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    What are your ideas to this question?

  7. anonymous
    • one year ago
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    i dont know im confused

  8. Zale101
    • one year ago
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    What do opposite angles add up to when they are inscribed in a circle?

  9. anonymous
    • one year ago
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    180?

  10. Zale101
    • one year ago
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    Yes, and what does the angles of the whole Quadrilateral add up to?

  11. anonymous
    • one year ago
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    360?

  12. Zale101
    • one year ago
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    Yes

  13. Zale101
    • one year ago
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    |dw:1438119043690:dw|

  14. anonymous
    • one year ago
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    So i can say opposite angles add up to 180 when they are inscribed in a circle and the angles of the whole Quadrilateral add up to 360 and.....

  15. Zale101
    • one year ago
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    |dw:1438119341554:dw|

  16. anonymous
    • one year ago
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    opposite angles add up to 180 when they are inscribed in a circle and the angles of the whole Quadrilateral add up to 360. So in this quadrilateral <B + <D= 180 and <C + <E= 180 and when you put that all together you would have 360. So because <C and <E add up to 180 this would show that they are supplementary.

  17. Zale101
    • one year ago
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    What you said was correct, but i think you need to include arc because it is a crucial part when proving a quadrilateral inscribed in a circle.

  18. Zale101
    • one year ago
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    You know that Angle b =(1/2) Arc EDC. What can you say about Angle c and e?

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