A figure displays two nonadjacent angles with measures of 3x degrees and (4x+1) degrees. If the two angles are complementary, what is the simplified equation corresponding to the measures of the angles?
Since the angles are complementary, their sum is equal to 90 degrees.
Therefore, we can write the equation as:
3x + (4x+1) = 90
Simplifying the equation gives:
7x + 1 = 90
Subtracting 1 from both sides gives:
7x = 89
Dividing both sides by 7 gives:
x = 89/7
Therefore, the simplified equation corresponding to the measures of the angles is:
3x + (4x+1) = 90