# Math

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Γ 1 is a circle with center O 1 and radius R 1 , Γ 2 is a circle with center O 2 and radius R 2 , and R 2 <R 1 . Γ 2 has O 1 on its circumference. O 1 O 2 intersect Γ 2 again at A . Circles Γ 1 and Γ 2 intersect at points B and C such that ∠CO 1 B=52 ∘ . D is a point on the circumference of Γ 1 that is not contained within Γ 2 . The line DB intersects Γ 2 at E . What is the measure (in degrees) of the acute angle between lines DE and EA ?