Use the Triangle Angle Sum Theorem to find the measures of each angle for the triangle shown in the diagram. (1 point) Responses 50°, 54°, and 93° 50 degrees , 54 degrees , and 93 degrees 42°, 44°, and 79° 42 degrees , 44 degrees , and 79 degrees 46°, 50°, and 85° 46 degrees , 50 degrees , and 85 degrees 46°, 49°, and 85°
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.
x + y + z = 180
If we substitute the given values into the equation, we get:
46 + 49 + 85 = 180
Therefore, the measures of each angle for the triangle are 46°, 49°, and 85°.