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 ?
Since the angles are complementary, their sum must be equal to 90°.
So, we have the equation:
40° + (8x + 2)° = 90°
We can simplify the equation by combining like terms:
40° + 8x° + 2° = 90°
Doing further simplification:
42° + 8x° = 90°
Subtracting 42° from both sides of the equation:
42° + 8x° - 42° = 90° - 42°
8x° = 48°
Dividing both sides of the equation by 8:
8x°/8 = 48°/8
x° = 6°
Therefore, the value of x is 6.