Question

find the value of x. 144° (x + 8)° (x + 8)° x =

Explanation:

Step1: Recall angle - sum property of a circle.

The sum of angles around a point is $360^{\circ}$. Here, the three angles at point $S$ are $144^{\circ}$, $(x + 8)^{\circ}$, and $(x + 8)^{\circ}$. So, we can write the equation $144+(x + 8)+(x + 8)=360$.

Step2: Simplify the left - hand side of the equation.

Combine like terms: $144 + 2(x + 8)=360$. First, expand $2(x + 8)$ to get $2x+16$. Then the equation becomes $144+2x + 16=360$, which simplifies to $2x+160 = 360$.

Step3: Solve for $x$.

Subtract 160 from both sides of the equation: $2x=360 - 160$. So, $2x=200$. Divide both sides by 2: $x=\frac{200}{2}=100$.

Answer:

$100$