Question

look at the diagram. which equation can be used to solve for x? 6x = 52 6x = 138 6x + 90 = 138 6x + 90 = 180 solve for x. x =

Explanation:

Step1: 对顶角相等

由图可知，$6x$ 与 $138^{\circ}$ 的角的对顶角和 $90^{\circ}$ 角组成一个平角，根据对顶角相等，可得 $6x + 90=138$。

Step2: 求解x

对 $6x + 90 = 138$ 进行求解，移项可得 $6x=138 - 90$，即 $6x = 48$，两边同时除以6，$x=\frac{48}{6}=8$。

Answer:

方程：$6x + 90 = 138$
$x = 8$