AIR MATH

Math Question

46 In the accompanying diagram of circle \( O, \overline{A D B} \) and \( \overline{A E C} \) are secants, chords \( \overline{B E} \) and \( \overline{C D} \) intersect at \( F \), tangent \( \overline{G H} \) intersects circle \( O \) at \( C, \mathrm{~m} \overparen{B D}=100 \), \( \mathrm{m} \overparen{D E}=70 \), and \( \mathrm{m} \overparen{E C}=80 \).
Find: \( \mathrm{m} \angle B A C, \mathrm{~m} \angle B D C, \mathrm{~m} \angle C F E, \mathrm{~m} \angle G C E \), \( \mathrm{m} \angle A E B \)

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