1. The problem states that angles 2 and 3 are each 52 degrees, and we need to understand how to find or verify this. 2. Typically, angles labeled 2 and 3 might be related by geometric rules such as vertical angles, corresponding angles, or supplementary angles. 3. One common rule is that vertical angles are equal. If angles 2 and 3 are vertical angles, then they must be equal. 4. Another rule is that if angles are on a straight line, they are supplementary, meaning their sum is 180 degrees. 5. To find angle 2 or 3, you might use the equation $$\text{angle 2} + \text{adjacent angle} = 180$$ or $$\text{angle 2} = \text{angle 3}$$ if vertical. 6. Given that both angles are 52 degrees, it suggests they are equal by vertical angle theorem or given as corresponding angles. 7. Therefore, the measure of angles 2 and 3 is 52 degrees because they are equal angles formed by intersecting lines or parallel lines with a transversal.