Use the image to answer the question.

Question

An illustration shows a triangle with vertices as D G O. Angle G at the bottom left is right angled. Angle O at the bottom right is 41 degrees. The line D O forms the hypotenuse.

Find the measure of the angle on point D
.

(1 point)
Responses

49°
49 degrees

39°
39 degrees

59°
59 degrees

29°

Answer 1

In a right triangle, the sum of the angles must equal 180 degrees. Since angle G is a right angle (90 degrees) and angle O is 41 degrees, we can find the measure of angle D using the following formula:

\[ \text{Angle D} = 180° - \text{Angle G} - \text{Angle O} \]

Substituting in the known values:

\[ \text{Angle D} = 180° - 90° - 41° \]

Calculating this gives:

\[ \text{Angle D} = 180° - 131° = 49° \]

Therefore, the measure of the angle at point D is:

49 degrees.