Triangle Angle Sum Theorem Quick Check

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Question
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

49°
49 degrees

59°
59 degrees

29°
29 degrees

39°
39 degrees

1 answer

We know that a triangle's angles add up to 180 degrees. Since one angle is 90 degrees and another is 41 degrees, we can subtract their sum from 180 degrees to find the measure of the angle at point D:

180 - 90 - 41 = 49

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

Answer: 49°