Question

value of x.
(4x - 4)°
(6x - 6)°
out of 99

Explanation:

Step1: Use the property of supplementary angles

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. So, \((4x - 4)+(6x - 6)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \((4x+6x)+(-4 - 6)=180\), which gives \(10x-10 = 180\).

Step3: Solve for \(x\)

Add \(10\) to both sides of the equation: \(10x-10 + 10=180 + 10\), so \(10x=190\). Then divide both sides by \(10\): \(x=\frac{190}{10}=19\).

Answer:

\(x = 19\)