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Omni-MATH / Suppose ABCD is a convex quadrilateral with ∠ABD=105^(∘),∠ADB=15^(∘),AC=7, and BC=CD=5. Compute the sum of all possible values of BD.

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problem

Suppose ABCDA B C D is a convex quadrilateral with ∠ABD=105∘,∠ADB=15∘,AC=7\angle A B D=105^{\circ}, \angle A D B=15^{\circ}, A C=7, and BC=CD=5B C=C D=5. Compute the sum of all possible values of BDB D.
Plain-text mathematical notation (without MathML)
Suppose ABCD is a convex quadrilateral with ∠ABD=105^(∘),∠ADB=15^(∘),AC=7, and BC=CD=5. Compute the sum of all possible values of BD.
Original LaTeX notation
Suppose $A B C D$ is a convex quadrilateral with $\angle A B D=105^{\circ}, \angle A D B=15^{\circ}, A C=7$, and $B C=C D=5$. Compute the sum of all possible values of $B D$.

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Source and history

task_id
a4624c27-4e51-56d2-8087-fecdd55d0044
task_key
test--a4624c27-4e51-56d2-8087-fecdd55d0044
task_revision_id
1
config / split
/ test

Official source

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