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)

Answer 1

If two angles are complementary, their measures add up to 90 degrees.

Given:
- One angle = 40°
- The other angle = (8x + 2)°

We can set up the following 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:

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

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