Question

question 5 (5 points)
listen
find x in the given figure if ( mangle aoc = 130^{circ} ).
a) 14
b) 8
c) - 14
d) 10.5

Explanation:

Step1: Set up the angle equation

The measure of \(\angle AOC\) is the sum of \(\angle AOB\) and \(\angle BOC\). So we have \((6x - 5)+(8x + 23)=130\).

Step2: Combine like terms

Combine the \(x\) terms and the constant terms: \(6x+8x - 5 + 23 = 130\), which simplifies to \(14x+18 = 130\).

Step3: Solve for \(x\)

Subtract 18 from both sides: \(14x=130 - 18=112\). Then divide both sides by 14: \(x=\frac{112}{14}=8\).

Answer:

B) 8