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
Since two angles are complementary, their measures must add up to 90 degrees.
We are given that one angle has a measure of 40 degrees, so the other angle has a measure of (8x+2) degrees.
Setting up the equation, we have:
40 + (8x+2) = 90
Simplifying the equation, we have:
8x + 42 = 90
Subtracting 42 from both sides, we have:
8x = 48
Dividing both sides by 8, we have:
x = 6
Therefore, the value of x is 6.