# The measures of the angles of a triangle are given x + 4 , x , and 2x. what’s the value of x ?

##### 2 Answers

Feb 28, 2018

#### Explanation:

#"the sum of the angles in a triangle "=180^@#

#"add the 3 given angles and equate to 180"#

#x+4+x+2x=180#

#rArr4x+4=180#

#"subtract 4 from both sides"#

#4xcancel(+4)cancel(-4)=180-4#

#rArr4x=176#

#"divide both sides by 4"#

#(cancel(4) x)/cancel(4)=176/4#

#rArrx=44#

#"the 3 angles in the triangle are therefore"#

#x=44^@,x+4=44+4=48^@,2x=2xx44=88^@#

#"note that "44+48+88=180^@#

Feb 28, 2018

#### Explanation:

Angles in a triangle

So