Two angles of a triangle measure 64 and 48. Which of the following is the measure of the largest exterior angle of the triangle?
The sum of the measures of the interior angles of a triangle is always 180 degrees. Therefore, the measure of the third angle can be found by subtracting the sum of the measures of the other two angles from 180 degrees:
180 - 64 - 48 = 68
The measure of the largest exterior angle is equal to the sum of the measures of the two non-adjacent interior angles. In this case, it is equal to:
64 + 68 = 132
Therefore, the measure of the largest exterior angle of the triangle is 132 degrees.