Triangle Angle Sum Theorem Quick Check

Question

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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

39°
39 degrees

29°
29 degrees

59°
59 degrees

Answer 1

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

Since angle G is a right angle (90 degrees) and angle O is 41 degrees, we can subtract these measures from 180 to find the measure of angle D.

180 - 90 - 41 = 49 degrees

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