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)
Responses
11
11
60
60
50
50
6
To find the value of x, we need to set up an equation using the fact that the two angles are complementary.
Since the measure of one angle is 40° and the other angle has a measure of (8x+2)°, we can write the equation as:
40° + (8x+2)° = 90°
Now, we can solve for x:
40° + 8x + 2° = 90°
Combine the like terms on the left side of the equation:
42° + 8x = 90°
Subtract 42° from both sides of the equation:
8x = 90° - 42°
Simplify:
8x = 48°
Divide both sides of the equation by 8:
x = 48°/8
Simplify:
x = 6
Therefore, the value of x is 6.