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
59°
59 degrees
29°
29 degrees
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To find the measure of angle D, we know that the sum of the angles in a triangle is always 180 degrees. We are given that angle G is a right angle, so it is 90 degrees. And angle O is 41 degrees.
To find angle D, we can subtract the sum of angles G and O from 180:
180 - 90 - 41 = 49 degrees.
Therefore, the measure of angle D is 49 degrees.