Given two angles $\angle \mathrm{jxm}$ and $\angle \mathrm{nxp}$ in standard position, which statement is true?

• A. If $\angle \mathrm{jxm}$ and $\angle \mathrm{nxp}$ have the same measure, they must be different angles in standard position.
• B. Angles in standard position cannot have negative measures.
• C. Angles in standard position always have their terminal side on the positive x-axis.
• D. If $\angle \mathrm{jxm}$ and $\angle \mathrm{nxp}$ have the same initial side and terminal side, then they are coterminal angles.

Answer: (D)

Verified step by step guidance

1. Recall that an angle in standard position has its vertex at the origin and its initial side along the positive x-axis.
2. Understand that angles can have positive or negative measures depending on the direction of rotation from the initial side: positive for counterclockwise, negative for clockwise.
3. Recognize that two angles with the same initial side and terminal side are called coterminal angles, even if their measures differ by multiples of 360 degrees.
4. Note that angles in standard position do not always have their terminal side on the positive x-axis; the terminal side can be anywhere depending on the angle's measure.
5. Conclude that the true statement is: If two angles have the same initial and terminal sides, then they are coterminal angles.