Question - Finding the Value of x with Parallel Lines

Solution:

In the given image, there are two intersecting lines, one of which is straight (m) and the other one (n) has a bend. You are given that line m is parallel to line n and you need to find the value of x. The straight angle between the upper part of line n and the line m is given as 140°.Since lines m and n are parallel, and we have a transversal that intersects both lines (the bent segment of line n), the alternate interior angles are equal. Therefore, the angle measured by x will also be 140°. Hence, the value of x is 140°.

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