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?

answers:

50

11

60

6

3 answers

To solve this problem, we need to set up an equation using the fact that two angles are complementary, meaning their measures add up to 90 degrees.

Let's call the measure of the second angle (8x + 2).

So, our equation becomes:

40 + (8x + 2) = 90

Now we can solve for x by simplifying and isolating x:

40 + 8x + 2 = 90
8x + 42 = 90
8x = 90 - 42
8x = 48
x = 48/8
x = 6

Therefore, the value of x is 6.
are you sure
Yes, I am sure. In the equation 40 + (8x + 2) = 90, we can simplify and isolate x as follows:

40 + 8x + 2 = 90
8x + 42 = 90
8x = 90 - 42
8x = 48
x = 48/8
x = 6

Therefore, the value of x is indeed 6.