Question

question
given ( m | n ), find the value of ( x ).
answer
attempt 1 out of 2
( x = )

Explanation:

Step1: Use the property of parallel lines

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), the angles \((10x - 10)^{\circ}\) and \((5x+10)^{\circ}\) are alternate - interior angles. Alternate - interior angles are equal. So we have the equation \(10x-10=5x + 10\).

Step2: Solve the equation for \(x\)

Subtract \(5x\) from both sides of the equation:
\(10x-5x-10=5x - 5x+10\)
\(5x-10 = 10\)
Add \(10\) to both sides:
\(5x-10 + 10=10 + 10\)
\(5x=20\)
Divide both sides by \(5\):
\(x=\frac{20}{5}=4\)

Answer:

\(x = 4\)