Question

which two line segments appear to form an obtuse angle? current skill $ skill code: 1152303

Explanation:

Step1: Recall obtuse - angle definition

An obtuse angle is an angle that measures greater than 90° and less than 180°.

Step2: Analyze each option

• For $\overline{CD}$ and $\overline{DE}$, the angle at D appears to be a right - angle (90°).
• For $\overline{BA}$ and $\overline{EA}$, these two line - segments are parallel and do not form an angle.
• For $\overline{AB}$ and $\overline{CD}$, if we extend these line - segments, the angle formed between them is greater than 90° and less than 180°, which is an obtuse angle.
• For $\overline{BC}$ and $\overline{DE}$, these two line - segments are not connected and do not form an angle in the context of the figure.

Answer:

$\overline{AB}$ and $\overline{CD}$