In the figure, how many of the six marked angles are greater than $90^\circ$?

1. Identify the angles greater than 90 degrees from the figure description

Based on the description of the figure:

• Bottom-left angle: looks like $90^\circ$ (not greater than $90^\circ$)
• Middle-left angle: reflex/obtuse, marked on the inside (greater than $90^\circ$)
• Top-left angle: obtuse (greater than $90^\circ$)
• Top-middle angle: obtuse (greater than $90^\circ$)
• Top-right angle: obtuse (greater than $90^\circ$)
• Bottom-right angle: looks like $90^\circ$ (not greater than $90^\circ$)

2. Count the number of angles greater than 90 degrees

There are 4 angles that are obtuse or reflex, which means they are greater than $90^\circ$.