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Omni-MATH / Let ABCD be a convex quadrilateral with AB=AD and CB=CD. The bisector of ∠BDC intersects BC at L, and AL intersects BD at M, and it is known that BL=BM. Determine the value of …

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problem

Let ABCDABCD be a convex quadrilateral with AB=ADAB = AD and CB=CDCB = CD. The bisector of ∠BDC\angle BDC intersects BCBC at LL, and ALAL intersects BDBD at MM, and it is known that BL=BMBL = BM. Determine the value of 2∠BAD+3∠BCD2\angle BAD + 3\angle BCD.
Plain-text mathematical notation (without MathML)
Let ABCD be a convex quadrilateral with AB=AD and CB=CD. The bisector of ∠BDC intersects BC at L, and AL intersects BD at M, and it is known that BL=BM. Determine the value of 2∠BAD+3∠BCD.
Original LaTeX notation
Let $ABCD$ be a convex quadrilateral with $AB = AD$ and $CB = CD$. The bisector of $\angle BDC$ intersects $BC$ at $L$, and $AL$ intersects $BD$ at $M$, and it is known that $BL = BM$. Determine the value of $2\angle BAD + 3\angle BCD$.

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Source and history

task_id
265c1002-fdb2-5d29-bb5d-aa2e23124d81
task_key
test--265c1002-fdb2-5d29-bb5d-aa2e23124d81
task_revision_id
1
config / split
/ test

Official source

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