Question

9
(6x + 20)°
(8x)°
x =
(6x + 20)° =
(8x)° =

Explanation:

Step1: Set up equation

Assume the two angles are supplementary (a common relationship in geometric figures when adjacent - angles on a straight - line or in a related geometric context). So, $(6x + 20)+8x=180$.

Step2: Combine like - terms

Combining the $x$ terms, we get $6x+8x + 20=180$, which simplifies to $14x+20 = 180$.

Step3: Isolate the variable term

Subtract 20 from both sides of the equation: $14x+20 - 20=180 - 20$, resulting in $14x=160$.

Step4: Solve for x

Divide both sides by 14: $x=\frac{160}{14}=\frac{80}{7}\approx11.43$.

Step5: Find the value of $(6x + 20)$

Substitute $x = \frac{80}{7}$ into $6x + 20$: $6\times\frac{80}{7}+20=\frac{480}{7}+\frac{140}{7}=\frac{480 + 140}{7}=\frac{620}{7}\approx88.57$.

Step6: Find the value of $(8x)$

Substitute $x=\frac{80}{7}$ into $8x$: $8\times\frac{80}{7}=\frac{640}{7}\approx91.43$.

Answer:

$x=\frac{80}{7}$
$(6x + 20)=\frac{620}{7}$
$(8x)=\frac{640}{7}$