Question

B(3x -4) A(9x + 17) C(6x -31) solve for angle A​

Answer 1

Angle
`A=116\°`

Explanation:

Given:

Three angles of a triangle ABC.

`A(9x+17)\\B(3x-4)\\C(6x-31)`

Angle sum of a triangle is always = 180°

∴
`A+B+C=180\°`

Plugging in values of
`A,B \ and\ C`

`(9x+17)+(3x-4)+(6x-31)=180`

Combining like terms.

`9x+3x+6x+17-4-31=180`

`18x-18=180`

Adding 18 both sides.

`18x-18+18=180+18`

`18x=198`

Dividing both sides by 18.

`(18x)/(18)=(198)/(18)`

∴
`x=11`

Angle
`A=9x+17`

Plugging in value of
`x`

Angle
`A=9(11)+17`

Angle
`A=99+17`

Angle
`A=116\°`