Question

given ( m parallel n ), find the value of ( x ) and ( y ).

Explanation:

Step1: 利用平行线内错角相等

因为\(m\parallel n\)，所以\(9x - 14 = 7x + 18\)

Step2: 解方程求\(x\)

\(9x - 7x = 18 + 14\)
\(2x = 32\)
\(x = 16\)

Step3: 求\(7x + 18\)的值

把\(x = 16\)代入\(7x + 18\)，得\(7\times16 + 18 = 112 + 18 = 130\)

Step4: 利用邻补角求\(y\)

因为\(y\)与\(7x + 18\)是邻补角，所以\(y + 130 = 180\)，\(y = 180 - 130 = 50\)

Answer:

\(x = 16\)，\(y = 50\)