# Are they intersecting at the same point?

Geometry Level 2

There have three lines:$$l_1$$,$$l_2$$,$$l_3$$.

$$AB=BC= \alpha$$, $$GD=2 \alpha$$, $$AD=BE=CF= \beta$$, $$AC // GF$$. Are $$l_1$$,$$l_2$$ and $$l_3$$ intersecting at the same point?

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