Question

what is the value of x?

Explanation:

Step1: Sum of central angles in a circle

The sum of central angles in a circle is \(360^{\circ}\). So, \((x + 81)+2x+(3x - 57)=360\).

Step2: Simplify the left - hand side

Combine like terms: \(x+81 + 2x+3x-57=(x + 2x+3x)+(81 - 57)=6x+24\).
The equation becomes \(6x + 24=360\).

Step3: Solve for \(x\)

Subtract \(24\) from both sides: \(6x=360 - 24\), so \(6x=336\).
Divide both sides by \(6\): \(x=\frac{336}{6}\).

Answer:

\(56\)