Question

An angle is equal to five times its complement.Determine its measure?

Answer 1

let one of the angles be 'x'. A/Q x+y=90 let this be the equation (i) and x=5y let this be equation (ii) now substitute the value of equation (ii) in equation (i),and you will get : 5y+y=90 then 6y=90 and y=90÷6 =15 so y=15 and x =5y=5×15=75.