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I need help this is a tangent and secant problem and I'm confused

I need help this is a tangent and secant problem and I'm confused-example-1
User Afourney
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Answer: 110 degrees

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Work Shown:

x = measure of minor arc CL

angle J = ( (far arc) - (near arc) )/2

angle J = ((red arc) - (yellow arc))/2

angle J = ( (minor arc CL) - (minor arc CK) )/2

35 = ( x - 40 )/2

35*2 = x-40

70 = x-40

x-40 = 70

x = 70+40

x = 110

Minor arc CL = 110 degrees

User Derek Pollard
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