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Omni-MATH / Equilateral triangles ACB' and BDC' are drawn on the diagonals of a convex quadrilateral ABCD so that B and B' are on the same side of AC, and C and C' are on the same sides of BD.…

Problem

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problem

Equilateral triangles $ACB'$ and $BDC'$ are drawn on the diagonals of a convex quadrilateral ABCDABCD so that BB and $B'$ are on the same side of ACAC, and CC and $C'$ are on the same sides of BDBD. Find ∠BAD+∠CDA\angle BAD + \angle CDA if $B'C' = AB+CD$.
Plain-text mathematical notation (without MathML)
Equilateral triangles $ACB'$ and $BDC'$ are drawn on the diagonals of a convex quadrilateral ABCD so that B and $B'$ are on the same side of AC, and C and $C'$ are on the same sides of BD. Find ∠BAD+∠CDA if $B'C' = AB+CD$.
Original LaTeX notation
Equilateral triangles $ACB'$ and $BDC'$ are drawn on the diagonals of a convex quadrilateral $ABCD$ so that $B$ and $B'$ are on the same side of $AC$, and $C$ and $C'$ are on the same sides of $BD$. Find $\angle BAD + \angle CDA$ if $B'C' = AB+CD$.

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Source and history

task_id
e2c22716-2283-5950-a5a9-b8dfa2953806
task_key
test--e2c22716-2283-5950-a5a9-b8dfa2953806
task_revision_id
1
config / split
/ test

Official source

initial import