Two angles are complementary. One angle has a measure of 40°

Question

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 \( 6 \).