Question

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

39°
39 degrees

29°
29 degrees

59°
59 degrees

49°
49 degrees
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page 13 of 13

Answer 1

In a right-angled triangle, the sum of the angles is always 180 degrees. Since angle G is a right angle (90 degrees) and angle O is 41 degrees, we can find the measure of angle D by using the following formula:

Angle D = Total degrees in a triangle - Angle G - Angle O

Plugging in the values:

Angle D = 180° - 90° - 41° Angle D = 180° - 131° Angle D = 49°

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