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)

50

60

11

6

1 answer

If two angles are complementary, then the sum of their measures is equal to 90 degrees.

So, we have the equation:
40 + (8x + 2) = 90

Simplifying the equation, we get:
8x + 42 = 90

Subtracting 42 from both sides, we get:
8x = 48

Dividing both sides by 8, we get:
x = 6

Therefore, the value of x is 6.