The measures of a triangle are given. Solve for x and find the measure of each angle? A=2x+12 B=3x-5 C=x+23

1 Answer
Jim G.
May 7, 2018

#62^@,70^@" and "48^@#

Explanation:

#• " the sum of the 3 angles in a triangle "=180^@#

#rArr2x+12+3x-5+x+23=180larrcolor(blue)"solve for x"#

#"simplify left side by collecting like terms"#

#rArr6x+30=180#

#"subtract 30 from both sides"#

#rArr6x=180-30=150#

#"divide both sides by 6"#

#rArrx=150/6=25#

#rArrangleA=(2xx25)+12=62^@#

#rArrangleB=(3xx25)-5=70^@#

#rArrangleC=25+23=48^@#

#"and "62+70+48=180" check"#

Related questions
Impact of this question
2819 views around the world
You can reuse this answer
Creative Commons License