Question

each figure shows a triangle with one of its angle. (mangle2 = 27x - 2) and (mangle1 = 25x + 2). find (x).

Explanation:

Step1: Set up the equation

Assume that $\angle 1$ and $\angle 2$ are supplementary or have some other known relationship. If they are supplementary (sum to 180 degrees), we have the equation $(27x - 2)+(25x + 2)=180$.
Combining like - terms, we get $27x+25x-2 + 2=180$, which simplifies to $52x=180$.

Step2: Solve for x

Divide both sides of the equation $52x = 180$ by 52. So $x=\frac{180}{52}=\frac{45}{13}\approx3.46$.

Answer:

$x = \frac{45}{13}$