Question
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.
Answers
GPT 3.5
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.
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.