Question

answer attempt 1 out of 2: x = submit answer

Explanation:

Step1: Assume the angles are supplementary

If the two angles $(8x - 5)^{\circ}$ and $(x + 5)^{\circ}$ are supplementary, their sum is $180^{\circ}$. So we set up the equation $(8x-5)+(x + 5)=180$.

Step2: Simplify the left - hand side of the equation

Combining like terms, $8x-5+x + 5=8x+x+( - 5 + 5)=9x$. So the equation becomes $9x=180$.

Step3: Solve for x

Dividing both sides of the equation $9x = 180$ by 9, we get $x=\frac{180}{9}=20$.

Answer:

$20$