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

6
6

50

To find the value of x, we can use the fact that complementary angles add up to 90 degrees.

The first angle has a measure of 40 degrees.

The second angle has a measure of (8x+2) degrees.

Since they are complementary, the sum of their measures is 90 degrees:

40 + (8x+2) = 90

8x + 42 = 90

Subtracting 42 from both sides:

8x = 48

Dividing both sides by 8:

x = 6

So the value of x is 6.