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#