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
39°
39 degrees
29°
29 degrees
59°
59 degrees
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.