https://file.aiquickdraw.com/mathbot/file/17260841810557zfljhgy.jpg

To solve for angle \(x\), we need to analyze the geometric relationships given in the diagram and use the fact that lines \(ABC\) and \(DEF\) are parallel.

### Step-by-Step Solution:

1. **Identify Corresponding Angles:**
   Since lines \(ABC\) and \(DEF\) are parallel, and line \(BE\) acts as a transversal, we know that the angle at \(B\) (35°) is equal to the angle at \(E\) (110° - 25°), because they are corresponding angles.

2. **Calculate the Angle at Point \(E\):**
   The angle at \(E\) is given as 110° (an exterior angle to triangle \(DEF\)) and there is another angle adjacent to it (25°). To find the interior angle at \(E\):
   \[
   \angle E = 110^\circ - 25^\circ = 85^\circ
   \]

3. **Use Alternate Interior Angles:**
   Angle \(G\) equals angle \(F\), and since line is parallel, and we know that:
   \[
   \angle G = 110^\circ.
   \]
   
   
4. 

To solve correctly and accurately.

BEG is a triangle. ABC and DEF are parallel lines. Work out the size of angle x. Give a reason for each stage of your working.

Learn how to solve for angle x in triangle BEG with parallel lines ABC and DEF. This problem involves using the corresponding angles theorem and the sum of angles in a triangle. Suitable for students in Grades 9-10.

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