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

59°
59 degrees

39°
39 degrees

49°
49 degrees

29°

Answer 1

In a right triangle, the sum of the angles is always 180 degrees. Given that angle G is a right angle (90 degrees) and angle O is 41 degrees, we can find angle D by using the following calculation:

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

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