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2010 AMC 10A Problem 14

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2010 AMC 10A Problem 14AMC 10 Step by Step

Name: Date: September 13, 2026

Angles & Polygons · difficulty 3 of 5 · about 5 min · position P11-15

Triangle $ABC$ has $AB=2 \cdot AC$ . Let $D$ and $E$ be on $\overline{AB}$ and $\overline{BC}$ , respectively, such that $\angle BAE = \angle ACD$ . Let $F$ be the intersection of segments $AE$ and $CD$ , and suppose that $\triangle CFE$ is equilateral. What is $\angle ACB$ ?

A)
$60^\circ$
B)
$75^\circ$
C)
$90^\circ$
D)
$105^\circ$
E)
$120^\circ$

2010 AMC 10A Problem 14

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