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
50
50
60
60
6
6
11
To find the value of x, we can use the fact that complementary angles add up to 90 degrees.
Given that one angle measures 40 degrees, the other angle measures (8x+2) degrees.
Thus, we can set up the 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.