Question

Two angles are complementary one angle has a measure of 40 and the other has a mesasure of (8x + 2) what is value of x

Answer 1

Two angles are complementary if their measures add up to 90 degrees. We know one angle measures 40 degrees and the other measures \(8x + 2\) degrees.

We can set up the equation:

\[
40 + (8x + 2) = 90
\]

Now, combine like terms:

\[
40 + 8x + 2 = 90
\]

\[
8x + 42 = 90
\]

Next, isolate \(8x\) by subtracting 42 from both sides:

\[
8x = 90 - 42
\]

\[
8x = 48
\]

Now, divide by 8 to solve for \(x\):

\[
x = \frac{48}{8}
\]

\[
x = 6
\]

Thus, the value of \(x\) is \(6\).