benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / Lines m₁, m₂, l₁ and l₂ are coplanar, and they are drawn such that l₁ is parallel to l₂, and m₂ is perpendicular to l₂. If the measure of angle 1 is 50 degrees, what is the measure…

Problem

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

problem

Lines m1m_{1}, m2m_{2}, l1l_{1} and l2l_{2} are coplanar, and they are drawn such that l1l_{1} is parallel to l2l_{2}, and m2m_{2} is perpendicular to l2l_{2}. If the measure of angle 1 is 50 degrees, what is the measure in degrees of angle 2 in the figure below? [asy] draw((-6,0)--(3.5,0),Arrows); draw((-4,3)--(2,-1.5),Arrows); draw((3,3)--(-4.5,-4.5),Arrows); draw((-4,1)--(2,-3.5),Arrows); label("1",(1.5,0),N); label("2",(-2.7,0),N); label("m2m_{2}",(3,3),NE); label("m1m_{1}",(3.5,0),E); label("l1l_{1}",(2,-1.5),E); label("l2l_{2}",(2,-3.5),E); [/asy]
Plain-text mathematical notation (without MathML)
Lines m₁, m₂, l₁ and l₂ are coplanar, and they are drawn such that l₁ is parallel to l₂, and m₂ is perpendicular to l₂. If the measure of angle 1 is 50 degrees, what is the measure in degrees of angle 2 in the figure below?

[asy]
draw((-6,0)--(3.5,0),Arrows);
draw((-4,3)--(2,-1.5),Arrows);
draw((3,3)--(-4.5,-4.5),Arrows);
draw((-4,1)--(2,-3.5),Arrows);
label("1",(1.5,0),N);
label("2",(-2.7,0),N);
label("m₂",(3,3),NE);
label("m₁",(3.5,0),E);
label("l₁",(2,-1.5),E);
label("l₂",(2,-3.5),E);
[/asy]
Original LaTeX notation
Lines $m_{1}$, $m_{2}$, $l_{1}$ and $l_{2}$ are coplanar, and they are drawn such that $l_{1}$ is parallel to $l_{2}$, and $m_{2}$ is perpendicular to $l_{2}$. If the measure of angle 1 is 50 degrees, what is the measure in degrees of angle 2 in the figure below?

[asy]
draw((-6,0)--(3.5,0),Arrows);
draw((-4,3)--(2,-1.5),Arrows);
draw((3,3)--(-4.5,-4.5),Arrows);
draw((-4,1)--(2,-3.5),Arrows);
label("1",(1.5,0),N);
label("2",(-2.7,0),N);
label("$m_{2}$",(3,3),NE);
label("$m_{1}$",(3.5,0),E);
label("$l_{1}$",(2,-1.5),E);
label("$l_{2}$",(2,-3.5),E);
[/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
7c434466-1f00-5a23-9b16-3c27551473b7
task_key
prealgebra--test--7c434466-1f00-5a23-9b16-3c27551473b7
task_revision_id
1
config / split
prealgebra / test

Official source

initial import