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MATH / In the figure, point A is the center of the circle, the measure of angle RAS is 74 degrees, and the measure of angle RTB is 28 degrees. What is the measure of minor arc BR, in degr…

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

problem

In the figure, point AA is the center of the circle, the measure of angle RASRAS is 74 degrees, and the measure of angle RTBRTB is 28 degrees. What is the measure of minor arc BRBR, in degrees? [asy] unitsize(1.2cm); defaultpen(linewidth(.7pt)+fontsize(8pt)); dotfactor=3; pair A=(0,0), B=(-1,0), T=(2,0); pair T0=T+10*dir(162); pair[] RS=intersectionpoints(Circle(A,1),T--T0); pair Sp=RS[0]; pair R=RS[1]; pair[] dots={A,B,T,Sp,R}; dot(dots); draw(Circle(A,1)); draw(B--T--R); label("TT",T,S); label("AA",A,S); label("BB",B,W); label("RR",R,NW); label("SS",Sp,NE); [/asy]
Plain-text mathematical notation (without MathML)
In the figure, point A is the center of the circle, the measure of angle RAS is 74 degrees, and the measure of angle RTB is 28 degrees. What is the measure of minor arc BR, in degrees? [asy]
unitsize(1.2cm);
defaultpen(linewidth(.7pt)+fontsize(8pt));
dotfactor=3;

pair A=(0,0), B=(-1,0), T=(2,0);
pair T0=T+10*dir(162);
pair[] RS=intersectionpoints(Circle(A,1),T--T0);
pair Sp=RS[0];
pair R=RS[1];
pair[] dots={A,B,T,Sp,R};
dot(dots);

draw(Circle(A,1));
draw(B--T--R);

label("T",T,S);
label("A",A,S);
label("B",B,W);
label("R",R,NW);
label("S",Sp,NE);
[/asy]
Original LaTeX notation
In the figure, point $A$ is the center of the circle, the measure of angle $RAS$ is 74 degrees, and the measure of angle $RTB$ is 28 degrees. What is the measure of minor arc $BR$, in degrees? [asy]
unitsize(1.2cm);
defaultpen(linewidth(.7pt)+fontsize(8pt));
dotfactor=3;

pair A=(0,0), B=(-1,0), T=(2,0);
pair T0=T+10*dir(162);
pair[] RS=intersectionpoints(Circle(A,1),T--T0);
pair Sp=RS[0];
pair R=RS[1];
pair[] dots={A,B,T,Sp,R};
dot(dots);

draw(Circle(A,1));
draw(B--T--R);

label("$T$",T,S);
label("$A$",A,S);
label("$B$",B,W);
label("$R$",R,NW);
label("$S$",Sp,NE);
[/asy]

level

Level 4

type

Geometry

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Source and history

task_id
e55a5edd-6cc0-5d6d-9303-c2dc6a0f44a5
task_key
geometry--test--e55a5edd-6cc0-5d6d-9303-c2dc6a0f44a5
task_revision_id
1
config / split
geometry / test

Official source

initial import