Question

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

( 1x + 1 ) = 90

( 1x + 1 ) = 180

( 7x + 1 ) = 90

( 7x + 1 ) = 180

Answer 1

To determine the correct equation corresponding to the measures of the nonadjacent angles that are complementary, we start with the given angle measures:

1. One angle measures \( 3x \) degrees.
2. The other angle measures \( 4x + 1 \) degrees.

Since the angles are complementary, their measures add up to 90 degrees. Therefore, we can set up the equation as follows:

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

Now, we simplify the left-hand side:

\[
3x + 4x + 1 = 90
\]
\[
7x + 1 = 90
\]

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

\[
(7x + 1) = 90
\]

The correct choice is:
**(7x + 1) = 90**.