Question

what is the value of x?
g
h
x+64° 96°
i
x+88°
f
x =
°

Explanation:

Step1: Sum of central angles is 360°

The sum of all central angles in a circle is \( 360^\circ \). So, \( (x + 64)^\circ + 96^\circ + (x + 88)^\circ = 360^\circ \).

Step2: Simplify the equation

Combine like terms: \( x + 64 + 96 + x + 88 = 360 \).
\( 2x + 248 = 360 \).

Step3: Solve for x

Subtract 248 from both sides: \( 2x = 360 - 248 \).
\( 2x = 112 \).
Divide by 2: \( x = \frac{112}{2} = 56 \).

Answer:

\( x = 56^\circ \)