Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 years ago

Tangent AD and secant FB intersect at point C, the point of tangency.If the measure of CGF=140o what is ACF?

Update:

A.35o B. 70o C. 100o D. 140o

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  • 9 years ago
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    Consider the inscribed quadrilateral GCEF : ∡ G + ∡ E = 180º so ∡ E = 40º ;

    Consider O is the center of the circle .

    ∡ FOC = 2 ∡E = 80º

    ∡OCF = ∡OFC = ( 180 -80 )/2 = 50º

    Since CA tangent to the circle ,

    ∡ ACO = 90º and

    ∡ACF = ∡ACO - ∡OCF = 40º

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