Use the Triangle Angle Sum Theorem to find the measure of the angles for the triangle in the diagram. (1 point) Responses 59°, 63°, and 48° 59 degrees , 63 degrees , and 48 degrees 54°, 44°, and 82° 54 degrees , 44 degrees , and 82 degrees 59°, 58°, and 63° 59 degrees , 58 degrees , and 63 degrees 57°, 54°, and 69°
The Triangle Angle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.
Let x be the measure of the first angle, y be the measure of the second angle, and z be the measure of the third angle in the triangle.
x + y + z = 180
Substitute the given measures for x, y, and z into the equation to find which option is correct.
First option: 59°, 63°, and 48°
59 + 63 + 48 = 170
Second option: 54°, 44°, and 82°
54 + 44 + 82 = 180 (Correct)
Third option: 59°, 58°, and 63°
59 + 58 + 63 = 179
Fourth option: 57°, 54°, and 69°
57 + 54 + 69 = 180
Therefore, the correct answer is 54°, 44°, and 82°.