Question

what is the value of x?

Explanation:

Step1: Sum of angles in a circle

The sum of angles around a point in a circle is \(360^{\circ}\). So, \((x + 98)+(7x- 52)+59 + 7x=360\).

Step2: Simplify the left - hand side

Combine like terms: \(x+7x + 7x+98-52 + 59=360\).
\(15x+(98 + 59-52)=360\).
\(15x+(157 - 52)=360\).
\(15x + 105=360\).

Step3: Solve for \(x\)

Subtract \(105\) from both sides: \(15x=360 - 105\).
\(15x=255\).
Divide both sides by \(15\): \(x=\frac{255}{15}\).
\(x = 17\).

Answer:

\(17\)