A triangle has interior angle measures of v–18°, 2v–44°, and v+6°. What is the value of v?

1 Answer
Feb 25, 2018

#v=59#

Explanation:

#"the "color(blue)"sum of the interior angles in a triangle "=180^@#

#"sum the angles given and equate to 180"#

#v-18+2v-44+v+6=180#

#rArr4v-56=180#

#"add 56 to both sides"#

#4vcancel(-56)cancel(+56)=180+56#

#rArr4v=236#

#"divide both sides by 4"#

#(cancel(4) v)/cancel(4)=236/4#

#rArrv=59#