Given two angles in standard position, $m_1$ = $27°$ and $m_2$ = $25°$, what is the measure of the angle formed by rotating from the initial side of $m_2$ to the terminal side of $m_1$ in the positive (counterclockwise) direction?

• A. $2°$
• B. $25°$
• C. $27°$
• D. $52°$

Answer: (A)

Verified step by step guidance

1. Identify the given angles: \( m_1 = 27^\circ \) and \( m_2 = 25^\circ \). These angles are in standard position, meaning their initial sides lie along the positive x-axis.
2. Understand that the problem asks for the measure of the angle formed by rotating from the initial side of \( m_2 \) to the terminal side of \( m_1 \) in the positive (counterclockwise) direction.
3. Since both angles are measured from the positive x-axis, the angle formed by rotating from \( m_2 \) to \( m_1 \) counterclockwise is found by subtracting \( m_2 \) from \( m_1 \):
4. \[ \text{Angle} = m_1 - m_2 \]
5. Calculate the difference (without final numeric evaluation here) to find the measure of the angle formed by the rotation.