Question

diagram with point w, rays wu, wx, wt, wv, wy (with a right angle symbol at w). below the diagram: checkboxes for angles ∠vwu, ∠twu, ∠xwy, ∠vwy.

Explanation:

Step1: Identify the right angle

From the diagram, there is a right angle (marked with a red square) at \( \angle VWU \)? Wait, no, let's check the angle with the right angle. Wait, the right angle is between \( WU \) and \( WV \)? Wait, no, looking at the diagram, the right angle is at \( W \), between \( WU \) and \( WV \)? Wait, no, the red square is between \( WU \) and \( WV \)? Wait, no, let's see the angles: \( \angle VWU \) – if the right angle is between \( WU \) and \( WV \), then \( \angle VWU \) is a right angle. Wait, but let's check the options. Wait, the problem is probably to identify which angle is a right angle. From the diagram, the right angle (the square) is at \( W \), so \( \angle VWU \) – wait, no, let's see the lines: \( WU \), \( WX \), \( WT \), \( WV \), \( WY \). The right angle is between \( WU \) and \( WV \)? Wait, no, the red square is between \( WU \) and \( WV \)? Wait, maybe the right angle is \( \angle VWU \). Wait, let's confirm: a right angle is 90 degrees, marked by the square. So the angle with the square is \( \angle VWU \)? Wait, no, maybe \( \angle VWU \) is the right angle. Wait, the options are \( \angle VWU \), \( \angle TWU \), \( \angle XWY \), \( \angle VWY \). So the right angle is \( \angle VWU \) because it has the square (right angle symbol) at \( W \) between \( WV \) and \( WU \).

Step2: Confirm the right angle

The right angle symbol (red square) is at vertex \( W \), between sides \( WV \) and \( WU \), so the angle \( \angle VWU \) is the right angle.

Answer:

\( \angle VWU \) (the checkbox next to \( \angle VWU \) should be selected)