Question

1. solve for x.

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. So, we set up the equation $6x+(2x + 10)+(x-10)=180$.

Step2: Combine like - terms

Combining the $x$ terms and the constant terms, we get $(6x+2x + x)+(10 - 10)=180$, which simplifies to $9x=180$.

Step3: Solve for x

Divide both sides of the equation $9x = 180$ by 9. So, $x=\frac{180}{9}=20$.

Answer:

$x = 20$