Question

Two angles are complementary. One angle has a measure of 40° and the other has a measure of (8x+2)°. What is the value of x?(1 point)
Responses

60
60

11
11

50
50

6

Pls get it right

Answer 1

To find the value of \( x \), we need to use the definition of complementary angles: they sum up to 90°.

Given that one angle is 40° and the other angle is \( (8x + 2)° \), we can set up the equation:

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

Now, simplify the equation:

\[
40 + 8x + 2 = 90
\]
\[
8x + 42 = 90
\]

Next, subtract 42 from both sides:

\[
8x = 90 - 42
\]
\[
8x = 48
\]

Now, divide by 8:

\[
x = \frac{48}{8}
\]
\[
x = 6
\]

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