Given that $m\angle \mathrm{KLH}=120°$ and $m\angle \mathrm{KLM}=180°$, which statement is true about these angles in standard position?

• A. $m\angle \mathrm{KLH}$ is a straight angle and $m\angle \mathrm{KLM}$ is an obtuse angle.
• B. $m\angle \mathrm{KLH}$ is a right angle and $m\angle \mathrm{KLM}$ is an acute angle.
• C. Both $m\angle \mathrm{KLH}$ and $m\angle \mathrm{KLM}$ are acute angles.
• D. $m\angle \mathrm{KLM}$ is a straight angle and $m\angle \mathrm{KLH}$ is an obtuse angle.

Answer: (D)

Verified step by step guidance

1. Recall the definitions of angle types based on their measures: an acute angle is less than 90°, a right angle is exactly 90°, an obtuse angle is between 90° and 180°, and a straight angle is exactly 180°.
2. Given that \(m\angle KLH = 120^\circ\), compare 120° to these categories. Since 120° is greater than 90° but less than 180°, \(\angle KLH\) is an obtuse angle.
3. Given that \(m\angle KLM = 180^\circ\), recognize that an angle measuring exactly 180° is a straight angle.
4. Match these classifications to the statements provided: \(\angle KLM\) is a straight angle and \(\angle KLH\) is an obtuse angle.
5. Conclude that the correct statement is the one that says \(m\angle KLM\) is a straight angle and \(m\angle KLH\) is an obtuse angle.