Question

What is the value of x?



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x=

Answer 1

`m\angle A=m\angle B=m\angle C,\ \text{therefore it's an equilateral triangle}.\\\\\text{The sides are congruent. Thereofre we ahve the double equation:}\\\\4x-30=3x-5=2x+20\\\\4x-30=3x-5\qquad\text{add 30 to both sides}\\4x=3x+25\qquad\text{subtract 3x from both sides}\\\boxed{x=25}\\\\Check:\\\\4x-30=2x+20\qquad\text{add 30 to both sides}\\4x=2x+50\qquad\texT{subtract 2x from both sides}\\2x=50\qquad\text{divide both sides by 2}\\\boxed{x=25}\qquad\ CORRECT\\\\Answer:\ \boxed{\boxed{x=25}}`