Question

Cynthia is finding the measures of the labeled angles in this image.





What is the least number of angle measures she needs to know to find the measures of all labeled angles in the image?
○ She only needs to know the measure of one angle, angle D.
○ She only needs to know the measure of one angle, angle A.
○ She only needs to know the measure of two angles, angles A and B.
○ She only needs to know the measure of two angles, but one of the angles must be one of the remote interior angles. ​

Answer 1

Answer:

D. She only needs to know the measures of two angles, but one of the angles must be one of the remote interior angles.

Step-by-step explanation:

Because we don't know what kind of triangle we're looking at, and none of the lines are parallel or perpendicular, the other responses wouldn't make sense.

As a result, we'll need two perspectives.

C would not work since we would know that the two angles are supplementary if we knew A or B.

If we start with A, we'll end up with B, which is 180-A, and vice versa.

Both A and B are unnecessary.