Bot. Use the Triangle Angle Sum Theorem to determine the angle measures of a triangle with interior angles that are consecutive even numbers. Answer in ascending order. The angle measures are blank, blank, and blank.
Let the consecutive even numbers be x, x+2, and x+4.
According to the Triangle Angle Sum Theorem, the sum of the interior angles of a triangle is always 180 degrees.
Therefore, x + (x+2) + (x+4) = 180
3x + 6 = 180
3x = 174
x = 58
So the angle measures are:
58 degrees, 60 degrees, and 62 degrees.