Problem #PRU-52598

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 $⌣ A B : ⌣ B C : ⌣ C D : ⌣ D A = 3 : 2 : 13 : 7$ . The chords $A D$ and $B C$ are continued until their intersection at point $M$ . Find the angle $A M B$ .

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