Question

choose the correct answer. \the measure of angle e and angle a are equal.\ which choice represents this phrase? ( m angle ea = 90 ^ { circ } ) ( ae = ea ) ( angle e = angle a )

Explanation:

Step1: Analyze the first option

The notation \(m\angle EA = 90^{\circ}\) represents the measure of an angle formed by points \(E\) and \(A\) being \(90^{\circ}\), not the equality of \(\angle E\) and \(\angle A\).

Step2: Analyze the second option

\(AE = EA\) is a statement about the equality of line - segments \(AE\) and \(EA\) (which is a trivial equality as it's the same line - segment named in reverse order), not about angles.

Step3: Analyze the third option

The notation \(\angle E=\angle A\) is the standard way to denote that the measure of angle \(E\) is equal to the measure of angle \(A\).

Answer:

\(\angle E=\angle A\) (the third option)