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?
Two angles are complementary if their measures add up to 90°.
Given that one angle has a measure of 40° and the other has a measure of (8x+2)°, we can set up the equation:
40° + (8x+2)° = 90°
Simplifying the equation, we get:
40° + 8x + 2° = 90°
Combining like terms, we have:
42° + 8x = 90°
Subtracting 42° from both sides of the equation, we get:
8x = 48°
Dividing both sides by 8, we get:
x = 6°
Therefore, the value of x is 6°.