Question

what is the value of x? 7x - 57° 3x 2x write your answer as an integer or as a decimal rounded to the nearest tenth. x =

Explanation:

Step1: Apply exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, $7x - 57=2x + 3x$.

Step2: Simplify the right - hand side

Combine like terms on the right - hand side: $2x+3x = 5x$. The equation becomes $7x - 57=5x$.

Step3: Isolate the variable $x$

Subtract $5x$ from both sides: $7x-5x - 57=5x - 5x$, which simplifies to $2x-57 = 0$. Then add 57 to both sides: $2x-57 + 57=0 + 57$, so $2x=57$.

Step4: Solve for $x$

Divide both sides by 2: $x=\frac{57}{2}=28.5$.

Answer:

$x = 28.5$