Question

v. geometry sem a geometry ng lines parallel what must be the value of ( x ) so that lines ( a ) and ( b ) are parallel lines cut by transversal ( f )? ( 32 ) ( 22 ) ( 20 ) ( 10 )

Explanation:

Step1: Use the property of same - side exterior and interior angles

When two parallel lines are cut by a transversal, same - side exterior and interior angles are supplementary. So, \((6x - 36)+96 = 180\).

Step2: Simplify the equation

Simplify the left - hand side of the equation: \(6x-36 + 96=6x + 60\). So, the equation becomes \(6x+60 = 180\).

Step3: Solve for \(x\)

Subtract 60 from both sides: \(6x=180 - 60\), \(6x = 120\). Then divide both sides by 6: \(x=\frac{120}{6}\).

Answer:

\(20\)