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The supplement of an angle is 10^(@) mor...

The supplement of an angle is `10^(@)` more than three times its complement. Find the angle.

A

`60^(@)`

B

`50^(@)`

C

`70^(@)`

D

`80^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
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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