benchmarks.wiki / Public workspace

Omni-MATH / In the given figure, ABCD is a parallelogram. We know that ∠D=60^(∘), AD=2 and AB=√(3)+1. Point M is the midpoint of AD. Segment CK is the angle bisector of C. Find the angle CKB.

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

In the given figure, ABCDABCD is a parallelogram. We know that ∠D=60∘\angle D = 60^\circ, AD=2AD = 2 and AB=3+1AB = \sqrt3 + 1. Point MM is the midpoint of ADAD. Segment CKCK is the angle bisector of CC. Find the angle CKBCKB.
Plain-text mathematical notation (without MathML)
In the given figure, ABCD is a parallelogram. We know that ∠D=60^(∘), AD=2 and AB=√(3)+1. Point M is the midpoint of AD. Segment CK is the angle bisector of C. Find the angle CKB.
Original LaTeX notation
In the given figure, $ABCD$ is a parallelogram. We know that $\angle D = 60^\circ$, $AD = 2$ and $AB = \sqrt3 + 1$. Point $M$ is the midpoint of $AD$. Segment $CK$ is the angle bisector of $C$. Find the angle $CKB$.

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

Official source

initial import