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MATH / Square ABCD and equilateral triangle AED are coplanar and share (AD)¯, as shown. What is the measure, in degrees, of angle BAE? [asy] size(3cm); pair A,B,C,D,E; A = (0,0); B = (0,1…

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problem

Square ABCDABCD and equilateral triangle AEDAED are coplanar and share AD¯\overline{AD}, as shown. What is the measure, in degrees, of angle BAEBAE? [asy] size(3cm); pair A,B,C,D,E; A = (0,0); B = (0,1); C = (1,1); D = (1,0); E = dir(60); draw(A--B--C--D--E--A--D); label("AA",A,dir(180)); label("BB",B,dir(180)); label("CC",C,dir(0)); label("DD",D,dir(0)); label("EE",E,dir(0)); [/asy]
Plain-text mathematical notation (without MathML)
Square ABCD and equilateral triangle AED are coplanar and share (AD)¯, as shown. What is the measure, in degrees, of angle BAE? [asy] size(3cm);
pair A,B,C,D,E;
A = (0,0);
B = (0,1);
C = (1,1);
D = (1,0);
E = dir(60);
draw(A--B--C--D--E--A--D);
label("A",A,dir(180));
label("B",B,dir(180));
label("C",C,dir(0));
label("D",D,dir(0));
label("E",E,dir(0));
[/asy]
Original LaTeX notation
Square $ABCD$ and equilateral triangle $AED$ are coplanar and share $\overline{AD}$, as shown. What is the measure, in degrees, of angle $BAE$? [asy] size(3cm);
pair A,B,C,D,E;
A = (0,0);
B = (0,1);
C = (1,1);
D = (1,0);
E = dir(60);
draw(A--B--C--D--E--A--D);
label("$A$",A,dir(180));
label("$B$",B,dir(180));
label("$C$",C,dir(0));
label("$D$",D,dir(0));
label("$E$",E,dir(0));
[/asy]

level

Level 1

type

Geometry

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Source and history

task_id
9d239e7e-2e85-575f-935c-02ac2e62f463
task_key
geometry--test--9d239e7e-2e85-575f-935c-02ac2e62f463
task_revision_id
1
config / split
geometry / test

Official source

initial import