Question

The interior angles of a triangle are `(x+10)°`, `(3x)°`, and `(2x+30)°`. What is the value of `x`?

Answer 1

Euclid's postulate: The sum of the measures of the interior angles of a triangle is 180 degrees.

`color(white)(xx)x+10+3x+2x+30=180`
`=>6x+40=180`
`=>6x+40color(red)(-40)=180color(red)(-40)`
`=>color(red)(1/6xx)6x=color(red)(1/6xx)140`

`=>x=70/3`