Triangle in a square

Geometry Level 1

$ABCD$ is a square. The point $E$ is located within $ABCD$ , such that $ABE$ is an equilateral triangle. What is the measure (in degrees) of $\color{#D61F06} {\angle \text{CBE} }$ ?

The answer is 30.

1 solution

Arron Kau Staff
May 13, 2014

We have $\angle ABC = 90^\circ$ and $\angle ABE = 60^\circ$ , hence $\angle CBE = \angle ABC - \angle ABE = 30 ^\circ$ .

Triangle in a square

The answer is 30.

1 solution

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