In triangle ODG, you have the angles at points O, D, and G corresponding to sides y, x, and 0'0. You stated that angle O (at point O) is 41 degrees, angle G (at point G) is 90 degrees, and you need to find the measure of angle D (at point D).
To find the measure of angle D, we can use the fact that the sum of the angles in a triangle is always 180 degrees. The formula is:
\[ \text{Angle O} + \text{Angle D} + \text{Angle G} = 180^\circ \]
Substituting the known values:
\[ 41^\circ + \text{Angle D} + 90^\circ = 180^\circ \]
Now, combine the known angles:
\[ 131^\circ + \text{Angle D} = 180^\circ \]
Next, subtract 131 degrees from both sides to find Angle D:
\[ \text{Angle D} = 180^\circ - 131^\circ = 49^\circ \]
Thus, the measure of angle D is 49 degrees.
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