The supplement of an angle is `10^(@)` more than three times its compl – InterviewSolution

1.	The supplement of an angle is `10^(@)` more than three times its complement. Find the angle.
Answer» Let the measure of the reauired angle be `x^(@)` `:.` Its supplement `=180=x^(@)-x` and its complement =`90-x^(@)` According to question, `180-x=3(90-x)+10` `rArr180-x=270-3x+10` `rArr 3x0x=270+10-180` `rArr2x=100` `rArrx=50^(@)` Hence, the measure of the angle is `50^(@)`

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