1. The problem is to convert an angle given in degrees into Degrees, Minutes, and Seconds (DMS) format. 2. Start with the angle in decimal degrees, for example, $\theta = 45.7625^\circ$. 3. The degrees part is the integer part: $45^\circ$. 4. To find the minutes, take the decimal part $0.7625$ and multiply by 60: $0.7625 \times 60 = 45.75$ minutes. 5. The integer part of this is the minutes: $45'$. 6. To find the seconds, take the decimal part $0.75$ of the minutes and multiply by 60: $0.75 \times 60 = 45$ seconds. 7. So, the angle $45.7625^\circ$ in DMS form is $45^\circ 45' 45''$. 8. This method is general and can be applied to convert any decimal degree angle into DMS format.