Given the following angle measures in standard position: $95°$, $105°$, $119°$, and $180°$, which angle has the greatest measure?

• A. $119°$
• B. $95°$
• C. $105°$
• D. $180°$

Answer: (D)

Verified step by step guidance

1. Identify all the given angles: 95\(\degree\), 105\(\degree\), 119\(\degree\), and 180\(\degree\).
2. Recall that the measure of an angle in standard position is the amount of rotation from the positive x-axis, measured in degrees.
3. To find the greatest angle, compare the numerical values of each angle measure directly since they are all in degrees.
4. List the angles in order from smallest to largest: 95\(\degree\), 105\(\degree\), 119\(\degree\), and 180\(\degree\).
5. Determine that the angle with the greatest measure is the one with the largest numerical value, which is 180\(\degree\).