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MATH / In the figure, ABCD and BEFG are squares, and BCE is an equilateral triangle. What is the number of degrees in angle GCE? [asy] draw(rotate(32)*shift((-.48,.85))*unitsquare); draw(…

Problem

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

problem

In the figure, ABCDABCD and BEFGBEFG are squares, and BCEBCE is an equilateral triangle. What is the number of degrees in angle GCEGCE? [asy] draw(rotate(32)*shift((-.48,.85))*unitsquare); draw(unitsquare); draw( (-.85, .46) -- (0,0)); label("CC", (-.85, .46), SW); label("EE", (0, 0), S); label("FF", (1, 0),SE );label("GG", (1, 1),NE ); label("BB", (0.05, 1),N); label("DD", (-2, 1.5), 3*E+2*SE); label("AA", (-.5, 2)); [/asy]
Plain-text mathematical notation (without MathML)
In the figure, ABCD and BEFG are squares, and BCE is an equilateral triangle. What is the number of degrees in angle GCE?

[asy]

draw(rotate(32)*shift((-.48,.85))*unitsquare); draw(unitsquare);
draw( (-.85, .46) -- (0,0));
label("C", (-.85, .46), SW); label("E", (0, 0), S); label("F", (1, 0),SE );label("G", (1, 1),NE ); label("B", (0.05, 1),N);
label("D", (-2, 1.5), 3*E+2*SE); label("A", (-.5, 2));

[/asy]
Original LaTeX notation
In the figure, $ABCD$ and $BEFG$ are squares, and $BCE$ is an equilateral triangle. What is the number of degrees in angle $GCE$?

[asy]

draw(rotate(32)*shift((-.48,.85))*unitsquare); draw(unitsquare);
draw( (-.85, .46) -- (0,0));
label("$C$", (-.85, .46), SW); label("$E$", (0, 0), S); label("$F$", (1, 0),SE );label("$G$", (1, 1),NE ); label("$B$", (0.05, 1),N);
label("$D$", (-2, 1.5), 3*E+2*SE); label("$A$", (-.5, 2));

[/asy]

level

Level 3

type

Geometry

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Source and history

task_id
c1bd3e76-b6e1-527d-929f-1673b42c5fae
task_key
geometry--test--c1bd3e76-b6e1-527d-929f-1673b42c5fae
task_revision_id
1
config / split
geometry / test

Official source

initial import