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

39°
39 degrees

29°
29 degrees

49°
49 degrees

59°

Answer 1

To find the measure of the angle at point D in triangle DGO, we can use the fact that the sum of the angles in any triangle is always 180 degrees.

In triangle DGO:

• Angle G is a right angle (90 degrees).
• Angle O is 41 degrees.

Now we can calculate the angle at point D (let's call it Angle D) using the following formula:

Angle D = 180° - Angle G - Angle O
Angle D = 180° - 90° - 41°
Angle D = 180° - 131°
Angle D = 49°

Therefore, the measure of the angle at point D is 49 degrees.