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MATH / In the diagram below, we have (ST)¯∥(QR)¯, ∠P=40^(∘), and ∠Q=35^(∘). Find the measure of ∠STR in degrees. [asy] pair P,Q,R,SS,T; Q = (0,0); R = (1,0); P = (1.1,0.5); SS = 0.6*P; T …

Problem

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

problem

In the diagram below, we have ST¯∥QR¯\overline{ST}\parallel\overline{QR}, ∠P=40∘\angle P= 40^\circ, and ∠Q=35∘\angle Q =35^\circ. Find the measure of ∠STR\angle STR in degrees. [asy] pair P,Q,R,SS,T; Q = (0,0); R = (1,0); P = (1.1,0.5); SS = 0.6*P; T = R + 0.6*(P-R); draw(T--SS--P--R--Q--SS); label("PP",P,N); label("SS",SS,NW); label("QQ",Q,S); label("RR",R,S); label("TT",T,ENE); [/asy]
Plain-text mathematical notation (without MathML)
In the diagram below, we have (ST)¯∥(QR)¯, ∠P=40^(∘), and ∠Q=35^(∘). Find the measure of ∠STR in degrees.

[asy]
pair P,Q,R,SS,T;
Q = (0,0);
R = (1,0);
P = (1.1,0.5);
SS = 0.6*P;
T = R + 0.6*(P-R);
draw(T--SS--P--R--Q--SS);
label("P",P,N);
label("S",SS,NW);
label("Q",Q,S);
label("R",R,S);
label("T",T,ENE);
[/asy]
Original LaTeX notation
In the diagram below, we have $\overline{ST}\parallel\overline{QR}$, $\angle P= 40^\circ$, and $\angle Q =35^\circ$. Find the measure of $\angle STR$ in degrees.

[asy]
pair P,Q,R,SS,T;
Q = (0,0);
R = (1,0);
P = (1.1,0.5);
SS = 0.6*P;
T = R + 0.6*(P-R);
draw(T--SS--P--R--Q--SS);
label("$P$",P,N);
label("$S$",SS,NW);
label("$Q$",Q,S);
label("$R$",R,S);
label("$T$",T,ENE);
[/asy]

level

Level 4

type

Prealgebra

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Source and history

task_id
6088050e-39e0-5586-b97e-ec67a7b1dce5
task_key
prealgebra--test--6088050e-39e0-5586-b97e-ec67a7b1dce5
task_revision_id
1
config / split
prealgebra / test

Official source

initial import