Question

find the value of x for which r || s. then find m∠1 and m∠2. m∠1 = 81 - x m∠2 = 92 - 2x the value of x for which r || s is

Explanation:

Step1: Use corresponding - angles property

Since \(r\parallel s\), \(\angle1\) and \(\angle2\) are corresponding angles, so \(m\angle1 = m\angle2\).
We set up the equation \(81 - x=92 - 2x\).

Step2: Solve the equation for \(x\)

Add \(2x\) to both sides of the equation: \(81 - x+2x=92 - 2x+2x\), which simplifies to \(81 + x=92\).
Then subtract 81 from both sides: \(x=92 - 81\).

Answer:

\(x = 11\)