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)%0D%0AResponses%0D%0A%0D%0A50%0D%0A50%0D%0A%0D%0A60%0D%0A60%0D%0A%0D%0A11%0D%0A11%0D%0A%0D%0A6
To find the value of x, we need to set up an equation using the fact that the two angles are complementary.
The sum of two complementary angles is equal to 90 degrees.
We know that one angle is 40 degrees, and the other angle is (8x+2) degrees.
So, we can set up the following equation:
40 + (8x+2) = 90
Now, let's solve for 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.