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)
Since the two angles are complementary, their measures sum up to 90°.
So, we can write the equation:
40° + (8x + 2)° = 90°
Simplifying the equation:
40° + 8x + 2° = 90°
Combining like terms:
42° + 8x = 90°
Subtracting 42° from both sides:
8x = 48°
Dividing both sides by 8:
x = 48°/8
x = 6
Therefore, the value of x is 6.