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

1 Answer
Dec 17, 2015

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