Geometry inscribed circle

label Mathematics
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help with question 9.

May 18th, 2015

Just show me question 9 and I'll be happy to do it.  Thanks.

May 18th, 2015
May 18th, 2015

I uploaded the file to it. I would be very happy if u show me how to do it in diagram, pictures with explanations.

May 18th, 2015

Can't show with pictures, but follow the diagram as I explain:

since <B is 115,  arc ADC must be 230 degrees because <B is its inscribed angle.

Then arc ABC must be 360 - 230 = 130 degrees

Then,

a) <ADC = 1/2(130) = 65 degrees,  because it's an inscribed angle

b)  arc CD = 230 - 60 = 170

therefore, <CDF = 1/2(170) = 85 degrees

c) <C = 85 degrees also, because it is the alternate interior angle of <CDF

d) <A = 360 - (115 + 85 + 65) = 95 degrees

Let me know if you have any questions. Thanks.

May 18th, 2015

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May 18th, 2015
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May 18th, 2015
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