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 _°, _°, and _°.
The Triangle Angle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.
Let the consecutive even numbers be x, x+2, and x+4.
Since the interior angles of the triangle are consecutive even numbers, we can express them as x, x+2, and x+4.
According to the Triangle Angle Sum Theorem:
x + (x+2) + (x+4) = 180
3x + 6 = 180
3x = 174
x = 58
Therefore, the angle measures of the triangle are:
58°, 60°, and 62°.