Question

Use the Triangle Angle Sum Theorem to find the measures of each angle for the triangle shown in the diagram.

(1 point)
Responses

50°
50
°
, 54°
54
°
, and 93°
93
°
50 degrees , 54 degrees , and 93 degrees

46°
46
°
, 49°
49
°
, and 85°
85
°
46 degrees , 49 degrees , and 85 degrees

46°
46
°
, 50°
50
°
, and 85°
85
°
46 degrees , 50 degrees , and 85 degrees

42°
42
°
, 44°
44
°
, and 79°
pick one that is right

Answer 1

To use the Triangle Angle Sum Theorem, we need to remember that the sum of the angles in any triangle is always 180 degrees.

Let's analyze each response to see if the sum of the angles equals 180°:

1. **50°, 54°, and 93°**:
\(50 + 54 + 93 = 197°\) (not valid)

2. **46°, 49°, and 85°**:
\(46 + 49 + 85 = 180°\) (valid)

3. **46°, 50°, and 85°**:
\(46 + 50 + 85 = 181°\) (not valid)

4. **42°, 44°, and 79°**:
\(42 + 44 + 79 = 165°\) (not valid)

The only valid response, where the angles sum to 180 degrees, is **46°, 49°, and 85°**.