In triangle DGO, we know the following:
- Angle G is a right angle, which means it measures 90 degrees.
- Angle O measures 41 degrees.
To find the measure of angle D, we can use the fact that the sum of angles in a triangle is 180 degrees. Therefore, we can set up the equation:
\[ \text{Angle D} + \text{Angle G} + \text{Angle O} = 180^\circ \]
Substituting the known values:
\[ \text{Angle D} + 90^\circ + 41^\circ = 180^\circ \]
Combining the angles we have:
\[ \text{Angle D} + 131^\circ = 180^\circ \]
Now, isolate angle D by subtracting 131 degrees from both sides:
\[ \text{Angle D} = 180^\circ - 131^\circ \]
\[ \text{Angle D} = 49^\circ \]
Thus, the measure of the angle at point D is 49 degrees.