Question

x =
step 1: (8x + 9)°+ 99°=
step 2: 8x+
step 3: 8x=

Explanation:

Step1: Identify angle - relationship

The two angles $(8x + 9)^{\circ}$ and $99^{\circ}$ are supplementary (linear - pair of angles, sum to 180°). So, $(8x + 9)+99 = 180$.

Step2: Simplify the left - hand side

Combine like terms: $8x+(9 + 99)=180$, which gives $8x+108 = 180$.

Step3: Isolate the variable term

Subtract 108 from both sides: $8x=180 - 108$, so $8x = 72$.

Step4: Solve for x

Divide both sides by 8: $x=\frac{72}{8}=9$.

Answer:

$9$