If m angle FGE =5x+10, Find the value of x so that line FC is perpendicular to Line AE. Line AE is a striaght line

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To find the value of x so that line FC is perpendicular to line AE, we need to use the properties of perpendicular lines.

In order for two lines to be perpendicular, their slopes must be negative reciprocals of each other.

First, let's find the slope of line FC. The slope of a line can be determined by comparing the change in the y-coordinates (vertical change) to the change in the x-coordinates (horizontal change) between two points on the line.

However, we don't have the coordinates of any points on line FC.

Next, let's find the slope of line AE. We are told that line AE is a straight line, so we can write the equation of line AE in the general form y = mx + b, where m is the slope of the line.

Since we are not provided with the equation of line AE, we cannot directly determine the slope of line AE.

Thus, without more information, it is not possible to determine the value of x for line FC to be perpendicular to line AE.