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 11 11 50 50 60 60 6 6
If two angles are complementary, then the sum of their measures is 90 degrees.
If one angle has a measure of 40 degrees and the other angle has a measure of (8x+2) degrees, then we can set up the following equation:
40 + (8x+2) = 90
Simplifying the equation, we get:
8x + 42 = 90
Subtracting 42 from both sides of the equation, we get:
8x = 48
Dividing both sides of the equation by 8, we get:
x = 6
Therefore, the value of x is 6.