Use the image to answer the 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

29°
29 degrees

49°
49 degrees
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1 answer

To find the measure of angle D, we can use the fact that the sum of the angles in a triangle is equal to 180 degrees. We already know that angle G is right angled (90 degrees) and angle O is 41 degrees.

Sum of angles in triangle = angle G + angle D + angle O

180 degrees = 90 degrees + angle D + 41 degrees

Now, subtracting 90 and 41 from both sides of the equation gives us:

180 degrees - 90 degrees - 41 degrees = angle D

49 degrees = angle D

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