SOLUTION: Secants AE and BF intersect at point D inside the circle. Given that the measure of arc FE = 30o, arc FA = 70o, and arc AB = 50o, which is the measure of FDA?

Algebra ->  Circles -> SOLUTION: Secants AE and BF intersect at point D inside the circle. Given that the measure of arc FE = 30o, arc FA = 70o, and arc AB = 50o, which is the measure of FDA?       Log On


   



Question 335663: Secants AE and BF intersect at point D inside the circle. Given that the measure of arc FE = 30o, arc FA = 70o, and arc AB = 50o, which is the measure of FDA?

Answer by jrfrunner(365) About Me  (Show Source):
You can put this solution on YOUR website!
the arc AF=70 and arc BE=360-(50-30-70)=210
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The angle FDA is the an interior non-central angle and its defined by the average of the arc AF and arc BE,
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angle FDA=(70+210)/2=140 degrees