Question

given m||n, find the value of x.
diagram of lines m, n (parallel) and transversal t, with angles (4x-6)° and (4x+10)° on line m
answer attempt 1 out of 2
x = blank box submit answer

Explanation:

Step1: 确定角的关系

因为\(m\parallel n\)，且\((4x - 6)^{\circ}\)与\((4x + 10)^{\circ}\)是同旁内角，根据两直线平行，同旁内角互补，所以\((4x - 6)+(4x + 10)=180\)。

Step2: 解方程

展开式子得\(4x - 6 + 4x + 10 = 180\)，合并同类项得\(8x + 4 = 180\)，移项得\(8x = 180 - 4 = 176\)，两边同时除以\(8\)，\(x=\frac{176}{8}=22\)。

Answer:

\(22\)