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audreygator912

  • 3 years ago

The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X. What is the measure of angle ACB? 6, 12, 24 or 32 degrees

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  1. audreygator912
    • 3 years ago
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  2. audreygator912
    • 3 years ago
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    @pfenn1 can you help me please?

  3. Kris5
    • 3 years ago
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    the answer is 12 :)

  4. pfenn1
    • 3 years ago
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    @Kris5, could you show how you got the answer, not just the answer?

  5. Kris5
    • 3 years ago
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    Sure, <XBA is an inscribed angle. Therefore, it is twice the measure of its intercepted arc. Its intercepted arc is arc XA. So... arc XA= 2m<XBA... arc XA=2(64)...arc XA=128. Now< ACB= 1/2 (BA-XA)... <ACB=1/2(152-128)...<ACB=1/2(24)...<ACB=12 :)

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