Two angles are complementary to each other. One angle measures 18°, and the other angle measures (8x − 28)°. Determine the value of x.
a) 12.5
b) 20
c) 44.5
d) 16
Since two angles are complementary, their measures add up to 90°.
Therefore, we can set up the equation:
18 + (8x - 28) = 90
Simplifying the equation, we get:
8x - 10 = 90
Adding 10 to both sides of the equation, we get:
8x = 100
Dividing both sides of the equation by 8, we get:
x = 12.5
Therefore, the value of x is 12.5.
Answer: a) 12.5