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a1234

  • one year ago

Can someone explain how the answers are 97, 32, and 51?

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  1. a1234
    • one year ago
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  2. anonymous
    • one year ago
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    AB is a secant and BC is a tangent, so angle B will be half the difference between arcs AD and DE. <B = ½(arc AD - arc DE) 4x = ½(18x-15 - (8x + 1)) 4x = ½(10x - 16) 4x = 5x - 8 x = 8 <B = 4x = 32°

  3. anonymous
    • one year ago
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    |dw:1433300303827:dw| Make the substitutions and find arcs AD & DE

  4. anonymous
    • one year ago
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    The whole circle is 360°, so arc AE = 360 - 65 - 129 = 166° |dw:1433300549895:dw|

  5. a1234
    • one year ago
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    And then angle C = 1/2(AED - AD), so it is 51. Thanks! I understand now

  6. anonymous
    • one year ago
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    You're welcome!

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