Question

find the value of x. x =

Explanation:

Step1: Recall angle - sum property

The sum of angles around a point is 360°. Here, we have 5 angles each of measure $(x - 2)^{\circ}$. So the sum of these angles is $5(x - 2)^{\circ}$.
$5(x - 2)=360$

Step2: Expand the left - hand side

Using the distributive property $a(b - c)=ab - ac$, we get $5x-10 = 360$.

Step3: Solve for x

Add 10 to both sides of the equation: $5x-10 + 10=360 + 10$, which simplifies to $5x=370$. Then divide both sides by 5: $x=\frac{370}{5}=74$.

Answer:

74