Problem #PRU-52586

Problems Geometry Plane geometry Circles Inscribed angle An angle between two chords or two secants

Problem

A circle is divided up by the points $A, B, C, D$ so that $⌣ A B : ⌣ B C : ⌣ C D : ⌣ D A = 2 : 3 : 5 : 6$ . The chords $A C$ and $B D$ intersect at point $M$ . Find the angle $A M B$ .

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