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?
60
6
50
11
If two angles are complementary, their measures add up to 90°.
We are given one angle with a measure of 40°, so the other angle must have a measure of (90 - 40)° = 50°.
The second angle is also given as (8x+2)°, so we can set up the equation:
50 = 8x + 2
Subtracting 2 from both sides:
48 = 8x
Dividing both sides by 8:
x = 6
Therefore, the value of x is 6.