Question

given the following isosceles trapezoid, find the measure of angle v.
find ( mangle v )
answer attempt 1 out of 3

Explanation:

Step1: 确定等腰梯形性质

等腰梯形中，同旁内角互补，即\(\angle V\)与\(\angle X\)互补，所以\(m\angle V + m\angle X = 180^\circ\)。

Step2: 列方程求解\(x\)

已知\(m\angle V = 11x - 30\)，\(m\angle X = 7x + 30\)，代入互补关系得：
\((11x - 30) + (7x + 30) = 180\)
合并同类项：\(18x = 180\)
解得：\(x = 10\)

Step3: 计算\(m\angle V\)

将\(x = 10\)代入\(11x - 30\)：
\(11\times10 - 30 = 110 - 30 = 80\)

Answer:

\(80^\circ\)