Question

1. solve for x.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, we have the equation $25 + x+(x - 31)=180$.

Step2: Simplify the left - hand side of the equation

Combine like terms: $25+x+x - 31=(25 - 31)+(x + x)=2x-6$. So the equation becomes $2x-6 = 180$.

Step3: Isolate the variable term

Add 6 to both sides of the equation: $2x-6 + 6=180 + 6$, which simplifies to $2x=186$.

Step4: Solve for x

Divide both sides of the equation by 2: $\frac{2x}{2}=\frac{186}{2}$, so $x = 93$.

Answer:

$x = 93$