Could these be the measures of 3 angles of a triangle?
Responses
A 10 degrees, 60 degrees, 100 degrees10 degrees, 60 degrees, 100 degrees
B 60 degrees, 60 degrees, 60 degrees60 degrees, 60 degrees, 60 degrees
C 50 degrees, 60 degrees, 50 degrees50 degrees, 60 degrees, 50 degrees
D 100 degrees, 40 degrees, 30 degrees
Yes, the measures in option A, C, and D could be the measures of three angles of a triangle. However, the measures in option B cannot be the measures of angles of a non-degenerate triangle because they add up to 180 degrees, which is the sum of angles in a straight line, not a triangle.
To determine if these could be the measures of the angles of a triangle, we need to check if the sum of the angles is 180 degrees, which is a property of triangles.
Let's add up the angles:
A: 10 degrees + 60 degrees + 100 degrees = 170 degrees
B: 60 degrees + 60 degrees + 60 degrees = 180 degrees
C: 50 degrees + 60 degrees + 50 degrees = 160 degrees
D: 100 degrees + 40 degrees + 30 degrees = 170 degrees
Only option B has angles that add up to 180 degrees. So, the measures 60 degrees, 60 degrees, and 60 degrees could be the measures of the angles of a triangle.