Question

find the value of x for which r || s. then find m∠1 and m∠2. m∠1 = 77 - x m∠2 = 92 - 2x the value of x for which r || s is

Explanation:

Answer:

If \(r\parallel s\), then \(m\angle1 = m\angle2\) (corresponding - angles postulate).
Set \(77 - x=92 - 2x\).
Solve for \(x\):
\[

$$\begin{align*} 2x - x&=92 - 77\\ x& = 15 \end{align*}$$

\]
\(m\angle1=77 - x=77 - 15 = 62\)
\(m\angle2=92 - 2x=92-2\times15=92 - 30 = 62\)

So \(x = 15\), \(m\angle1 = 62\), \(m\angle2 = 62\)