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

60
60

11
11

50
50

6

1 answer

To find the value of x, we need to set up the equation 40 + (8x+2) = 90, since complementary angles add up to 90 degrees.

Simplifying the equation, we have:
40 + 8x + 2 = 90

Combine like terms:
8x + 42 = 90

Subtract 42 from both sides of the equation:
8x = 90 - 42
8x = 48

Divide both sides by 8 to solve for x:
x = 48/8
x = 6

Therefore, the value of x is 6.