Cynthia is finding the measures of the labeled angles in this image.
A triangle has angles B, C, D. The exterior angle to angle B is A.
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 measures of two angles, angles A and B.
She only needs to know the measures of two angles, but one of the angles must be one of the remote interior angles.
think the answers d
Is the answer d right?
D looks good to me
The correct answer is: She only needs to know the measures of two angles, but one of the angles must be one of the remote interior angles.
By knowing the measure of angle D and one of the remote interior angles, we can use the fact that the sum of the interior angles of a triangle is always 180 degrees to find the measure of all labeled angles in the image.
You are correct. The least number of angle measures Cynthia needs to know to find the measures of all labeled angles in the image is two angles, but one of the angles must be one of the remote interior angles.
In this scenario, Cynthia can determine the measures of all labeled angles by knowing the measures of angles A and B. The reason for this is that the exterior angle A is equal to the sum of the two remote interior angles B and C. Therefore, with the measures of angles A and B, Cynthia can find the measure of angle C, and by using the fact that the sum of the angles in a triangle is 180 degrees, she can determine the measure of angle D.
So, the correct answer is: She only needs to know the measures of two angles, but one of the angles must be one of the remote interior angles.