Question

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

Explanation:

Step1: Use the property of parallel lines and transversal

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), the corresponding angles are equal. Here, \((5x - 8)^{\circ}\) and \((3x+28)^{\circ}\) are corresponding angles. So, we can set up the equation \(5x-8=3x + 28\).

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides of the equation:
\(5x-3x-8=3x-3x + 28\)
\(2x-8=28\)
Add \(8\) to both sides:
\(2x-8 + 8=28+8\)
\(2x=36\)
Divide both sides by \(2\):
\(x=\frac{36}{2}=18\)

Answer:

\(x = 18\)