Question

solve for x. (100 - 2x)° (10x)° x =

Explanation:

Step1: Identify angle - relationship

The angles $(100 - 2x)^{\circ}$ and $(10x)^{\circ}$ are supplementary (linear - pair of angles, sum to 180°).
$100 - 2x+10x = 180$

Step2: Combine like - terms

Combine the $x$ terms on the left - hand side:
$100+( - 2x + 10x)=180$
$100 + 8x=180$

Step3: Isolate the variable term

Subtract 100 from both sides of the equation:
$8x=180 - 100$
$8x = 80$

Step4: Solve for x

Divide both sides by 8:
$x=\frac{80}{8}$
$x = 10$

Answer:

$10$