benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / In the diagram, PT is parallel to QR. What is the measure of ∠PQR in degrees? [asy] draw((0,0)--(10,0),black+linewidth(1)); draw((0,0)--(10,0),MidArrow); draw((10,0)--(20,0),black+…

Problem

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

problem

In the diagram, PTPT is parallel to QR.QR. What is the measure of ∠PQR\angle PQR in degrees? [asy] draw((0,0)--(10,0),black+linewidth(1)); draw((0,0)--(10,0),MidArrow); draw((10,0)--(20,0),black+linewidth(1)); draw((0,0)--(-7,10)--(7,10)--(10,0),black+linewidth(1)); draw((-5,10)--(7,10),MidArrow); label("x∘x^{\circ}",(-6,10),SE); label("2x∘2x^{\circ}",(7,10),SW); label("128∘128^{\circ}",(10,0),NE); label("PP",(-7,10),N); label("TT",(7,10),N); label("RR",(10,0),S); label("QQ",(0,0),S); [/asy]
Plain-text mathematical notation (without MathML)
In the diagram, PT is parallel to QR. What is the measure of ∠PQR in degrees?

[asy]
draw((0,0)--(10,0),black+linewidth(1));
draw((0,0)--(10,0),MidArrow);
draw((10,0)--(20,0),black+linewidth(1));
draw((0,0)--(-7,10)--(7,10)--(10,0),black+linewidth(1));
draw((-5,10)--(7,10),MidArrow);
label("x^(∘)",(-6,10),SE);
label("2x^(∘)",(7,10),SW);
label("128^(∘)",(10,0),NE);
label("P",(-7,10),N);
label("T",(7,10),N);
label("R",(10,0),S);
label("Q",(0,0),S);
[/asy]
Original LaTeX notation
In the diagram, $PT$ is parallel to $QR.$ What is the measure of $\angle PQR$ in degrees?

[asy]
draw((0,0)--(10,0),black+linewidth(1));
draw((0,0)--(10,0),MidArrow);
draw((10,0)--(20,0),black+linewidth(1));
draw((0,0)--(-7,10)--(7,10)--(10,0),black+linewidth(1));
draw((-5,10)--(7,10),MidArrow);
label("$x^{\circ}$",(-6,10),SE);
label("$2x^{\circ}$",(7,10),SW);
label("$128^{\circ}$",(10,0),NE);
label("$P$",(-7,10),N);
label("$T$",(7,10),N);
label("$R$",(10,0),S);
label("$Q$",(0,0),S);
[/asy]

level

Level 4

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
5ad9653c-fa36-5846-b2c3-e1f047b5bfda
task_key
prealgebra--test--5ad9653c-fa36-5846-b2c3-e1f047b5bfda
task_revision_id
1
config / split
prealgebra / test

Official source

initial import