A figure displays two nonadjacent angles with measures 3x° and (4x+1)° . If the angles are complementary, what is the simplified equation corresponding to the measures of the angles?(1 point)

Question

Responses

Answer 1

When two angles are complementary, the sum of their measures is equal to 90 degrees. Given that the measures of the angles are \(3x\) and \(4x + 1\), we can write the equation for their sum as follows:

\[ 3x + (4x + 1) = 90 \]

Now, let's simplify the equation:

1. Combine like terms: \[ 3x + 4x + 1 = 90 \] \[ 7x + 1 = 90 \]

So, the simplified equation corresponding to the measures of the angles is:

\[ 7x + 1 = 90 \]