Question

what is the value of x?
g
69°
x-23°
f
h
88°
x+26°
i
x =
°
submit
work it out

Explanation:

Step1: Recall the sum of central angles in a circle

The sum of central angles in a circle is \(360^{\circ}\). So, \((x - 23^{\circ})+(x + 26^{\circ})+69^{\circ}+88^{\circ}=360^{\circ}\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((x+x)+(-23 + 26+69 + 88)=360\).
\(2x+(3 + 69+88)=360\).
\(2x+(72 + 88)=360\).
\(2x+160 = 360\).

Step3: Solve for \(x\)

Subtract \(160\) from both sides: \(2x=360 - 160\).
\(2x=200\).
Divide both sides by \(2\): \(x=\frac{200}{2}\).

Answer:

\(100\)