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
59°
59 degrees
39°
39 degrees
29°
29 degrees
49°
To find the measure of the angle at point D, we can use the Triangle Angle Sum Theorem. This theorem states that the sum of the measures of the angles in a triangle is always 180 degrees.
We know that angle G is a right angle, which means it measures 90 degrees. We also know that angle O measures 41 degrees. To find the measure of the angle at point D, we can subtract the sum of angles G and O from 180 degrees:
180 degrees - 90 degrees - 41 degrees = 49 degrees
Therefore, the measure of the angle at point D is 49 degrees.