After login you will be able to create your own lists of problems.

Problems

Sort

Age

Difficulty

Clear filters

Found: 3

Problem #PRU-52586

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

13–14 2.0

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 $A M B$ .

Problem #PRU-52598

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

13–14 2.0

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 $A M B$ .

Problem #PRU-56555

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

13–13 2.0

On a circle, the points $A, B, C, D$ are given in the indicated order. $M$ is the midpoint of the arc $A B$ . We denote the intersection points of the chords $M C$ and $M D$ with the chord $A B$ by $E$ and $K$ . Prove that $K E C D$ is an inscribed quadrilateral.