Question

For each set of three measures, determine if they can be angle measures of a triangle.
A. 85 degrees, 75 degrees, 20 degrees
B. 32 degrees, 42 degrees, 16 degrees
C. 38 degrees, 10 degrees, 132 degrees
D. 42 degrees, 34 degrees, 56 degrees

Answer 1

To determine if the sets of three measures can be the angles of a triangle, we need to check if the sum of the angles in each set is equal to 180 degrees.

Let's evaluate each set:

A. 85 degrees, 75 degrees, 20 degrees
- Sum = 85 + 75 + 20 = 180 degrees
- Yes, this can be the angles of a triangle.

B. 32 degrees, 42 degrees, 16 degrees
- Sum = 32 + 42 + 16 = 90 degrees
- No, this cannot be the angles of a triangle.

C. 38 degrees, 10 degrees, 132 degrees
- Sum = 38 + 10 + 132 = 180 degrees
- Yes, this can be the angles of a triangle.

D. 42 degrees, 34 degrees, 56 degrees
- Sum = 42 + 34 + 56 = 132 degrees
- No, this cannot be the angles of a triangle.

In summary:
A: Yes
B: No
C: Yes
D: No