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 ?
Responses
11
11
6
6
60
60
50
To find the value of x, we can set up an equation using the definition of complementary angles. Complementary angles add up to 90 degrees.
So, we have: 40° + (8x + 2)° = 90°
Combining like terms, we get: 8x + 42 = 90
Subtracting 42 from both sides, we get: 8x = 48
Finally, dividing both sides by 8, we find: x = 6
Therefore, the value of x is 6.