Question

3 find the value of x. (3x + 5)° (7x - 15)°

Explanation:

Step1: Use the property of same - side interior angles

When two parallel lines are cut by a transversal, same - side interior angles are supplementary. So, \((3x + 5)+(7x-15)=180\).

Step2: Simplify the equation

Combine like terms: \(3x+7x+5 - 15=180\), which gives \(10x-10 = 180\).

Step3: Solve for \(x\)

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

Answer:

\(x = 19\)