Question

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

Explanation:

Step1: Use the property of alternate interior angles

Since \(m\parallel n\), the angles \((7x + 9)^{\circ}\) and \((9x-5)^{\circ}\) are equal. So we have the equation \(7x + 9=9x - 5\).

Step2: Solve the equation for \(x\)

Subtract \(7x\) from both sides: \(9 = 2x-5\).
Add \(5\) to both sides: \(14 = 2x\).
Divide both sides by \(2\): \(x = 7\).

Answer:

\(x = 7\)