Use the Triangle Angle Sum Theorem to find the measure of the angles for the triangle in the diagram.

Question

(1 point)
57°, 54°, and 69°
59°, 63°, and 48°
59°, 58°, and 63°
54°, 44°, and 82°

Answer 1

The Triangle Angle Sum Theorem states that the sum of the measures of the angles in a triangle is always 180 degrees.

From the given answer choices, we need to find the set of angles that add up to 180 degrees.

Let's check each set of angles:

57° + 54° + 69° = 180° (True)
59° + 63° + 48° = 170° (False)
59° + 58° + 63° = 180° (True)
54° + 44° + 82° = 180° (True)

Among the answer choices, the set of angles 57°, 54°, and 69° satisfy the Triangle Angle Sum Theorem and add up to 180°. Therefore, the correct answer is:

57°, 54°, and 69°