A figure displays two nonadjacent angles with measures 3x degrees and (4x+1) degrees. If the angles are complementary, what is the simplified equation corresponding to the measures of the angles?
Since the two angles are complementary, their measures add up to 90 degrees.
We can write this as the equation: 3x + (4x + 1) = 90.
Combining like terms, we get 7x + 1 = 90.
Subtracting 1 from both sides, we have 7x = 89.
Dividing both sides by 7, we get x = <<89/7=12.71>>12.71.
Thus, the simplified equation corresponding to the measures of the angles is: 3(12.71) + (4(12.71) + 1) = 90.