Question

of x.
-2.5
(7x - 1)°
(6x - 1)°
(7x - 1)(6x - 1)
7x + 6x + 2
x = 2

Explanation:

Step1: Use the property of adjacent angles

Adjacent angles on a straight line sum to \(180^{\circ}\). So, \((7x - 1)+(6x - 1)=180\).

Step2: Simplify the equation

Combine like - terms: \(7x+6x-1 - 1=180\), which simplifies to \(13x-2 = 180\).

Step3: Solve for \(x\)

Add \(2\) to both sides: \(13x=180 + 2=182\). Then divide both sides by \(13\): \(x=\frac{182}{13}=14\).

Answer:

\(x = 14\)