There are three angles. The second angle is one-third of the compliment of the first angle. The third angle is half of the supplement of the first angle. The third angle is 6 times the second angle. Find the first angle.A. `45^(@)`B. `60^(@)`C. `75^(@)`D. `90^(@)`

There are three angles. The second angle is one-third of the complimen

1.	There are three angles. The second angle is one-third of the compliment of the first angle. The third angle is half of the supplement of the first angle. The third angle is 6 times the second angle. Find the first angle.A. `45^(@)`B. `60^(@)`C. `75^(@)`D. `90^(@)`
Answer» Correct Answer - B Let the first angle, the second angle, and the third angle be f, s and t, respectively. `s=((90^(@)-f)/(3))=(30^(@)-(f)/(3))` `t=((180^(@)-f)/(2))=(90^(@)-(f)(2))` t=6s `:. (90^(@)-(f)/(2))=6(30^(@)-(f)/(3))` `implies (90^(@)-(f)/(2))=(180^(@)-2f)` `f=60^(@)` Hence, the correct option is (b)