The angles of a triangle are 2x, (2x+1), and (2x+13). Find all the angles?

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Answer 1 · 2018-06-19T08:09:28

#color(blue)((166/3)^@,(169/3)^@,(205/3)^@#

The sum of the interior angles of a triangle is #180^@#

#:.#

#2x+(2x+1)+(2x+13)=180#

#6x+14=180#

#6x=180-14=166#

#x=166/6=83/3#

So the angles are:

#2x=2(83/3)=color(blue)((166/3)^@#

#(2x+1)=(2(83/3)+1)=color(blue)((169/3)^@#

#(2x+13)=(2(83/3)+13)=color(blue)((205/3)^@#