Two angles are complementary. One angle has a measure of 40 degree and the other has a measure of (8x + 2) degree. What is the value of x?
Options:
50
11
6
60
Since two angles are complementary, their measures add up to 90 degrees.
Let the measure of one angle be 40 degrees.
The measure of the other angle is (8x + 2) degrees.
Setting up the equation, we have:
40 + (8x + 2) = 90
Combining like terms, 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.