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

#x=44#

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^@#

#x = 44°#

Explanation:

Angles in a triangle #= 180°#

So

#(x + 4°) + (x) + (2x) = 180°#

#4x + 4° = 180°#

#4x = 176°#

#x = 44°#