Use the Triangle Angle Sum Theorem to find the measures of each angle for the triangle shown in the diagram.
(1 point)
42°, 44°, and 79°
46°, 50°, and 85°
50°, 54°, and 93°
46°, 49°, and 85°
To find the measures of each angle for the triangle, we can use the Triangle Angle Sum Theorem which states that the sum of the interior angles of a triangle is always 180 degrees.
Let's consider each given option:
1) 42°, 44°, and 79°:
42° + 44° + 79° = 165°, which is not equal to 180°. This option does not satisfy the Triangle Angle Sum Theorem.
2) 46°, 50°, and 85°:
46° + 50° + 85° = 181°, which is not equal to 180°. This option does not satisfy the Triangle Angle Sum Theorem.
3) 50°, 54°, and 93°:
50° + 54° + 93° = 197°, which is not equal to 180°. This option does not satisfy the Triangle Angle Sum Theorem.
4) 46°, 49°, and 85°:
46° + 49° + 85° = 180°, which satisfies the Triangle Angle Sum Theorem. This option is correct.
Therefore, the correct option is 46°, 49°, and 85°.