Given that $m\angle klh$ = $120°$ and $m\angle klm$ = $180°$, what is the measure of the angle between the terminal sides of these two angles in standard position?

• A. $180°$
• B. $60°$
• C. $240°$
• D. $120°$

Answer: (B)

Verified step by step guidance

1. Identify the two given angles: \( \angle klh = 120^\circ \) and \( \angle klm = 180^\circ \). These represent the measures of two angles in standard position.
2. Recall that the angle between the terminal sides of two angles in standard position is the absolute difference between their measures.
3. Calculate the difference between the two angles using the formula: \( | \theta_1 - \theta_2 | \), where \( \theta_1 = 120^\circ \) and \( \theta_2 = 180^\circ \).
4. Evaluate the absolute difference: \( |120^\circ - 180^\circ| = | -60^\circ | = 60^\circ \).
5. Conclude that the measure of the angle between the terminal sides of the two given angles is \( 60^\circ \).