Question

which angle is obtuse?

Explanation:

Step1: Recall obtuse - angle definition

An obtuse angle is an angle whose measure is greater than 90° and less than 180°.

Step2: Analyze each option

• $\angle X$ is not a well - defined single angle in the context.
• $\angle YXZ$ is an acute angle (less than 90°).
• $\angle YXW$ is greater than 90° and less than 180°, so it is an obtuse angle.

Answer:

$\angle YXW$