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

Question

46° 50° and 85°
42°, 44°, and 79°
50°, 54°, and 93°
46°, 49°, and 85°

Answer 1

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

We don't have a specific diagram to refer to, but we can calculate the angles for each of the responses you provided based on the criterion that they must add up to 180 degrees.

1. 46°, 50°, and 85°: \( 46 + 50 + 85 = 181° \) (Not valid)

2. 42°, 44°, and 79°: \( 42 + 44 + 79 = 165° \) (Not valid)

3. 50°, 54°, and 93°: \( 50 + 54 + 93 = 197° \) (Not valid)

4. 46°, 49°, and 85°: \( 46 + 49 + 85 = 180° \) (Valid)

Based on the angle sum theorem, the correct angles for the triangle are 46°, 49°, and 85°.