Question

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?

Answer 1

Complementary angles are two angles whose measures add up to 90 degrees. Given that the measures of the two angles are \(3x\) and \(4x + 1\), we can set up the equation as follows:

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

Now, let's simplify the equation:

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

This simplifies to:
\[
7x + 1 = 90
\]

2. Next, we subtract 1 from both sides:
\[
7x = 89
\]

So, the simplified equation corresponding to the measures of the angles is:
\[
7x + 1 = 90
\]