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?

1 answer

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