benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / In the diagram below, lines k and ℓ are parallel. Find the measure of angle x in degrees. [asy] size(200); pair A = dir(-22)*(0,0); pair B = dir(-22)*(4,0); pair C = dir(-22)*(4,2)…

Problem

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

problem

In the diagram below, lines kk and ℓ\ell are parallel. Find the measure of angle xx in degrees. [asy] size(200); pair A = dir(-22)*(0,0); pair B = dir(-22)*(4,0); pair C = dir(-22)*(4,2); pair D = dir(-22)*(0,2); pair F = dir(-22)*(0,1.3); pair G = dir(-22)*(4,1.3); pair X,Y; X=A; Y=B; draw(1.3*X-.3*Y--1.3*Y-.3*X); X=A; Y=C; draw(1.3*X-.3*Y--1.3*Y-.3*X); X=C; Y=B; draw(1.3*X-.3*Y--1.3*Y-.3*X); X=B; Y=D; draw(1.3*X-.3*Y--1.3*Y-.3*X); X=G; Y=F; draw(1.3*X-.3*Y--1.3*Y-.3*X); label("ℓ\ell",1.4*A-.4*B); label("kk",1.4*F-.4*G); label("30∘30^\circ",A+(.8,-.1)); label("90∘90^\circ",B+(.4,.1)); label("xx",C+(.32,.2)); [/asy]
Plain-text mathematical notation (without MathML)
In the diagram below, lines k and ℓ are parallel.  Find the measure of angle x in degrees. [asy]
size(200);
pair A = dir(-22)*(0,0);
pair B = dir(-22)*(4,0);
pair C = dir(-22)*(4,2);
pair D = dir(-22)*(0,2);
pair F = dir(-22)*(0,1.3);
pair G = dir(-22)*(4,1.3);

pair X,Y;

X=A;
Y=B;
draw(1.3*X-.3*Y--1.3*Y-.3*X);

X=A;
Y=C;
draw(1.3*X-.3*Y--1.3*Y-.3*X);

X=C;
Y=B;
draw(1.3*X-.3*Y--1.3*Y-.3*X);

X=B;
Y=D;
draw(1.3*X-.3*Y--1.3*Y-.3*X);

X=G;
Y=F;
draw(1.3*X-.3*Y--1.3*Y-.3*X);

label("ℓ",1.4*A-.4*B);
label("k",1.4*F-.4*G);

label("30^(∘)",A+(.8,-.1));
label("90^(∘)",B+(.4,.1));
label("x",C+(.32,.2));
[/asy]
Original LaTeX notation
In the diagram below, lines $k$ and $\ell$ are parallel.  Find the measure of angle $x$ in degrees. [asy]
size(200);
pair A = dir(-22)*(0,0);
pair B = dir(-22)*(4,0);
pair C = dir(-22)*(4,2);
pair D = dir(-22)*(0,2);
pair F = dir(-22)*(0,1.3);
pair G = dir(-22)*(4,1.3);

pair X,Y;

X=A;
Y=B;
draw(1.3*X-.3*Y--1.3*Y-.3*X);

X=A;
Y=C;
draw(1.3*X-.3*Y--1.3*Y-.3*X);

X=C;
Y=B;
draw(1.3*X-.3*Y--1.3*Y-.3*X);

X=B;
Y=D;
draw(1.3*X-.3*Y--1.3*Y-.3*X);

X=G;
Y=F;
draw(1.3*X-.3*Y--1.3*Y-.3*X);

label("$\ell$",1.4*A-.4*B);
label("$k$",1.4*F-.4*G);

label("$30^\circ$",A+(.8,-.1));
label("$90^\circ$",B+(.4,.1));
label("$x$",C+(.32,.2));
[/asy]

level

Level 3

type

Prealgebra

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
6e83c94d-0498-50fc-89b2-aa744114e1f6
task_key
prealgebra--test--6e83c94d-0498-50fc-89b2-aa744114e1f6
task_revision_id
1
config / split
prealgebra / test

Official source

initial import