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MATH / (BC)¯ is parallel to the segment through A, and AB=BC. What is the number of degrees represented by x? [asy] draw((0,0)--(10,0)); draw((0,3)--(10,3)); draw((2,3)--(8,0)); draw((2,3…

Problem

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problem

BC¯\overline{BC} is parallel to the segment through AA, and AB=BCAB = BC. What is the number of degrees represented by xx? [asy] draw((0,0)--(10,0)); draw((0,3)--(10,3)); draw((2,3)--(8,0)); draw((2,3)--(4,0)); label("AA",(2,3),N); label("BB",(4,0),S); label("CC",(8,0),S); label("124∘124^{\circ}",(2,3),SW); label("x∘x^{\circ}",(4.5,3),S); [/asy]
Plain-text mathematical notation (without MathML)
(BC)¯ is parallel to the segment through A, and AB=BC. What is the number of degrees represented by x?

[asy]
draw((0,0)--(10,0));
draw((0,3)--(10,3));
draw((2,3)--(8,0));
draw((2,3)--(4,0));
label("A",(2,3),N);
label("B",(4,0),S);
label("C",(8,0),S);
label("124^(∘)",(2,3),SW);
label("x^(∘)",(4.5,3),S);
[/asy]
Original LaTeX notation
$\overline{BC}$ is parallel to the segment through $A$, and $AB = BC$. What is the number of degrees represented by $x$?

[asy]
draw((0,0)--(10,0));
draw((0,3)--(10,3));
draw((2,3)--(8,0));
draw((2,3)--(4,0));
label("$A$",(2,3),N);
label("$B$",(4,0),S);
label("$C$",(8,0),S);
label("$124^{\circ}$",(2,3),SW);
label("$x^{\circ}$",(4.5,3),S);
[/asy]

level

Level 1

type

Geometry

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Source and history

task_id
86341f0f-6b79-59d6-b932-e5dac2fe4ea5
task_key
geometry--test--86341f0f-6b79-59d6-b932-e5dac2fe4ea5
task_revision_id
1
config / split
geometry / test

Official source

initial import