benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / In triangle ABC, it is given that angles B and C are congruent. Points P and Q lie on (AC)¯ and (AB)¯, respectively, so that AP=PQ=QB=BC. Find the ratio of ∠ACB to ∠APQ. Enter your…

Problem

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

problem

In triangle ABC,ABC, it is given that angles BB and CC are congruent. Points PP and QQ lie on AC¯\overline{AC} and AB¯,\overline{AB}, respectively, so that AP=PQ=QB=BC.AP = PQ = QB = BC. Find the ratio of ∠ACB\angle ACB to ∠APQ.\angle APQ. Enter your answer as a fraction.
Plain-text mathematical notation (without MathML)
In triangle ABC, it is given that angles B and C are congruent. Points P and Q lie on (AC)¯ and (AB)¯, respectively, so that AP=PQ=QB=BC.  Find the ratio of ∠ACB to ∠APQ.  Enter your answer as a fraction.
Original LaTeX notation
In triangle $ABC,$ it is given that angles $B$ and $C$ are congruent. Points $P$ and $Q$ lie on $\overline{AC}$ and $\overline{AB},$ respectively, so that $AP = PQ = QB = BC.$  Find the ratio of $\angle ACB$ to $\angle APQ.$  Enter your answer as a fraction.

level

Level 5

type

Precalculus

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

task_id
169b4ac8-5a9c-5707-bae4-f3aebb3e05e2
task_key
precalculus--test--169b4ac8-5a9c-5707-bae4-f3aebb3e05e2
task_revision_id
1
config / split
precalculus / test

Official source

initial import