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?

Answer 1

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.