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MATH / On a protractor, ray BA goes through the 85-degree mark and ray BC goes through the 30-degree mark. What is the measure, in degrees, of angle ABC? [asy] draw((0,0)--(2,0)..(1,1)..(…

Problem

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problem

On a protractor, ray BABA goes through the 85-degree mark and ray BCBC goes through the 30-degree mark. What is the measure, in degrees, of angle ABCABC? [asy] draw((0,0)--(2,0)..(1,1)..(0,0)..cycle,linewidth(2)); draw((1,0)--1.4dir(30)+(1,0),Arrow); draw((1,0)--1.3dir(85)+(1,0),Arrow); dot(1.1dir(85)+(1,0)); dot(1.2dir(30)+(1,0)); label("A",1.1dir(85)+(1,0),NW); label("B",(1,0),S); label("C",1.2dir(30)+(1,0),SE); label("85",.9dir(85)+(1,0)); label("30",.9dir(30)+(1,0)); [/asy]
Plain-text mathematical notation (without MathML)
On a protractor, ray BA goes through the 85-degree mark and ray BC goes through the 30-degree mark. What is the measure, in degrees, of angle ABC?

[asy]
draw((0,0)--(2,0)..(1,1)..(0,0)..cycle,linewidth(2));

draw((1,0)--1.4dir(30)+(1,0),Arrow);
draw((1,0)--1.3dir(85)+(1,0),Arrow);

dot(1.1dir(85)+(1,0));
dot(1.2dir(30)+(1,0));

label("A",1.1dir(85)+(1,0),NW);
label("B",(1,0),S);
label("C",1.2dir(30)+(1,0),SE);

label("85",.9dir(85)+(1,0));
label("30",.9dir(30)+(1,0));

[/asy]
Original LaTeX notation
On a protractor, ray $BA$ goes through the 85-degree mark and ray $BC$ goes through the 30-degree mark. What is the measure, in degrees, of angle $ABC$?

[asy]
draw((0,0)--(2,0)..(1,1)..(0,0)..cycle,linewidth(2));

draw((1,0)--1.4dir(30)+(1,0),Arrow);
draw((1,0)--1.3dir(85)+(1,0),Arrow);

dot(1.1dir(85)+(1,0));
dot(1.2dir(30)+(1,0));

label("A",1.1dir(85)+(1,0),NW);
label("B",(1,0),S);
label("C",1.2dir(30)+(1,0),SE);

label("85",.9dir(85)+(1,0));
label("30",.9dir(30)+(1,0));

[/asy]

level

Level 1

type

Prealgebra

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Source and history

task_id
50f04965-e5cf-52bf-bb17-30eba131284a
task_key
prealgebra--test--50f04965-e5cf-52bf-bb17-30eba131284a
task_revision_id
1
config / split
prealgebra / test

Official source

initial import