Answer :
We proved that ray FE is parallel to ray GC using the property of parallel lines.
What do you meant by Parallel lines?
Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel. The following key traits and qualities make it simple to recognize parallel lines:
They are usually parallel straight lines that are spaced equally apart.
These lines are coplanar.
No matter how far you extend them in any direction, they never come together.
A transversal line will create four angles at each of its two sites of intersection with two parallel lines if it does so.
Calculation
At B, angle DEF intersects.
This causes angle FED to coincide with angle GCA.
Since FED = 45, angle GCA= 45
Ray AC is also parallel to ray DE.
We can therefore conclude from the foregoing reasoning that the rays FE and GC are parallel.
We proved that ray FE is parallel to ray GC using the property of parallel lines.
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